| RefNo | Title | Date |
| EC/1864/05 | Ellis, Alexander John: certificate of election to the Royal Society | |
| AP/45/3/2 | Unpublished figures, geometric drawings by Alexander John Ellis | 1863 |
| NLB/18/323 | Copy letter from Robert William Frederick Harrison, to the Rev Henry Brandreth, The Rectory, Dickleburgh, Scole, R.S.O., Norfolk | 22 February 1899 |
| RR/4/75 | Referee's report by Thomas Henry Huxley, on a paper 'Researches into the nature of the involuntary muscular tissue of the urinary bladder' by George Viner Ellis | 14 March 1859 |
| AP/43/3/2 | Unpublished figures, geometrical figures by Alexander John Ellis | 1860 |
| RR/4/81 | Referee's report by George Boole, on a paper 'On scalar and clinant algebraical coordinate geometry, introducing a new and more general theory of analytical geometry, including the received as a particular case, and explaining ‘imaginary points,’ ‘intersections,’ and ‘lines.’' by Alexander John Ellis | 15 May 1861 |
| RR/7/38 | Referee's report by Alexander John Ellis, on a paper 'On the mechanical performance of logical inference' by William Stanley Jevons | 13 May 1870 |
| RR/7/240 | Referee's report by Isaac Todhunter, on a paper 'On the algebraical analogues of logical relations' by Alexander John Ellis | 7 June 1873 |
| RR/7/239 | Referee's report by Robert Harley, on a paper 'On the algebraical analogues of logical relations' by Alexander John Ellis | 1 May 1873 |
| MS/427/92 | Copy letter from [Thomas Henry] Huxley, Secretary of the Royal Society; to [Alexander John] Ellis Esq., FRS | 3 March 1881 |
| MC/10/163 | Letter from Alexn J [Alexander John] Ellis, 25 Argll Road, Kensington, to Professor [George Gabriel] Stokes, Secretary of the Royal Society | 28 October 1874 |
| AP/43/3/3 | Unpublished figures, geometrical figures by Alexander John Ellis | 1860 |
| NLB/3/916 | List of corrections in the addresses of Royal Society Fellows | 8 November 1889 |
| AP/48/2/1 | Unpublished manuscript, 'Second memoir on plane stigmatics' by Alexander J [John] Ellis | 1866 |
| RR/7/37 | Letter from Alexander John Ellis, on a paper 'On the mechanical performance of logical inference' by William Stanley Jevons to the Secretary of the Royal Society | 12 May 1870 |
| RR/4/72 | Referee's report by Arthur Cayley, on a paper 'On the laws of operation, and the systematization of mathematics' by Alexander John Ellis | 1 June 1859 |
| MC/6 | Volume 6 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1859-1863 |
| MC/6/318 | Letter from Alex J [Alexander John] Ellis, 57A Wimpole Street, London, to W [William] Sharpey, [Secretary of the Royal Society] | 27 April 1863 |
| MC/9/349 | Letter from Alexr J [Alexander John] Ellis, 25 Argyll Road, Kensington, to Professor [George Gabriel] Stokes, Secretary of the Royal Society | 21 March 1872 |
| MC/9 | Volume 9 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1870-June 1873 |
| MC/10 | Volume 10 of miscellaneous correspondence regarding business matters, sent to the Royal Society | July 1873-1876 |
| RR/4/74 | Referee's report by George Boole, on a paper 'On the laws of operation, and the systematization of mathematics' by Alexander John Ellis | 8 November 1859 |
| MC/12/112 | Letter from Alexr J [Alexander John] Ellis, 25 Argyll Road, Kensington, to W [Walter] White, [Assistant Secretary of the Royal Society] | 5 November 1880 |
| AP/43/3 | Unpublished paper, 'On scalar and clinant algebraical coordinate geometry, introducing a new and more general theory of analytical geometry, including the received as a particular care, and explaining "imaginary points, intersections, and lines"' by Alexander J [John] Ellis | 1860 |
| AP/43/3/1 | Unpublished manuscript, 'On scalar and clinant algebraical coordinate geometry, introducing a new and more general theory of analytical geometry, including the received as a particular care, and explaining "imaginary points, intersections, and lines"' by Alexander J [John] Ellis | 1860 |
| MC/12 | Volume 12 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1880-1883 |
| RR/5/64 | Referee's report by Bartholomew Price, on a paper 'On clinant geometry, as a means of expressing the general relations of points in a plane, realizing imaginaries reconciling ordinary algebra with plane geometry, and extending the theories of anharmonic ratios' by Alexander John Ellis | 27 October 1863 |
| RR/5/66 | Referee's report by George Boole, on a paper 'On clinant geometry, as a means of expressing the general relations of points in a plane, realizing imaginaries reconciling ordinary algebra with plane geometry, and extending the theories of anharmonic ratios' by Alexander John Ellis | [1863] |
| RR/5/65 | Second referee's report by Bartholomew Price, on a paper 'On clinant geometry, as a means of expressing the general relations of points in a plane, realizing imaginaries reconciling ordinary algebra with plane geometry, and extending the theories of anharmonic ratios' by Alexander John Ellis | [1863] |
| AP/45/3 | Unpublished paper, 'Bessel's hypsometric tables, as corrected by [Emile] Plantamour, reduced to English measures, and recalculated' by Alexander J [John] Ellis | 1863 |
| AP/45/3/1 | Unpublished manuscript, 'Bessel's hypsometric tables, as corrected by [Emile] Plantamour, reduced to English measures, and recalculated' by Alexander J [John] Ellis | 1863 |
| AP/45/2 | Unpublished paper, 'On clinant geometry, as a means of expressing the general relations of points on a plane, realising imaginaries, and extending the theories of anharmonic ratios' by Alexander J [John] Ellis | 1863 |
| AP/42/9 | Unpublished paper, 'On the laws of operation, and the systematisation of mathematics' Alexander J [John] Ellis | 1859 |
| AP/48/1 | Unpublished paper, 'Introductory memoir on the plane stigmatics' by Alexander J [John] Ellis | 1865-1866 |
| AP/48/2 | Unpublished paper, 'Second memoir on plane stigmatics' by Alexander J [John] Ellis | 1866 |
| RR/6/114 | Referee's report by Henry John Stephen Smith, on a paper 'Second memoir on plane stigmatics' by Alexander John Ellis | 8 September 1866 |
| AP/48/2/2 | Unpublished diagrams, plane stigmatics by Alexander John Ellis | 1866 |
| AP/55/5 | Unpublished paper, 'On the algebraical analogues of logical relations' by Alexander J [John] Ellis | 1873 |
| RR/7/176 | Referee's report by William Stanley Jevons, on a paper 'Contributions to formal logic' by Alexander John Ellis | 2 July 1872 |
| RR/7/177 | Referee's report by Isaac Todhunter, on a paper 'Contributions to formal logic' by Alexander John Ellis | 1872 |
| AP/54/7 | Unpublished paper, 'Contributions to formal logic' by Alexander J [John] Ellis | 1872 |
| RR/7/363 | Referee's report by Alexander John Ellis, on a paper 'The theory of the division of the octave, and the practic treatment of the musical systems thus obtained. Revised version of a paper entitled 'On just intonation in music with a description of a new instrument for the easy control systems of tuning other than the equal temperament of 1 divisions in the octave' by Robert Holford Macdowall Bosanquet | 10 February 1875 |
| PP/5/26 | Paper, 'Tonometrical observations on some existing non-harmonic musical scales' by A J [Alexander John] Ellis and Alfred J [James] Hipkins | 1884 |
| PP/6/12 | Paper, 'Observations on the upper partial tones of a pianoforte string, struck at one-eighth of its length' by Alfred James Hipkins | [1884-1885] |
| AP/48/1/1 | Unpublished manuscript, 'Introductory memoir on the plane stigmatics' by Alexander J [John] Ellis | 1865 |
| PP/5/25 | Paper, 'Observations on the harmonics of a string struck at one-eighth of its length' by Alfred James Hipkins | 1884 |
| RR/4/73 | Referee's report by William Fishburn Donkin, on a paper 'On the laws of operation, and the systematization of mathematics' by Alexander John Ellis | 8 January 1860 |
| RR/4/77 | Referee's report by William Fishburn Donkin, on a paper 'On scalar and clinant algebraical coordinate geometry, introducing a new and more general theory of analytical geometry, including the received as a particular case, and explaining ‘imaginary points,’ ‘intersections,’ and ‘lines.’' by Alexander John Ellis | 15 May 1860 |
| RR/4/78 | Referee's report by William Fishburn Donkin, on a paper 'On scalar and clinant algebraical coordinate geometry, introducing a new and more general theory of analytical geometry, including the received as a particular case, and explaining ‘imaginary points,’ ‘intersections,’ and ‘lines.’' by Alexander John Ellis | 9 May 1860 |
| RR/4/79 | Referee's report by Arthur Cayley, on a paper 'On scalar and clinant algebraical coordinate geometry, introducing a new and more general theory of analytical geometry, including the received as a particular case, and explaining ‘imaginary points,’ ‘intersections,’ and ‘lines.’' by Alexander John Ellis | 25 April 1860 |
| RR/4/80 | Referee's report by Bartholomew Price, on a paper 'On scalar and clinant algebraical coordinate geometry, introducing a new and more general theory of analytical geometry, including the received as a particular case, and explaining ‘imaginary points,’ ‘intersections,’ and ‘lines.’' by Alexander John Ellis | 29 June 1861 |
| RR/5/67 | Referee's report by Henry John Stephen Smith, on a paper 'Introductory memoir on plane stigmatics' by Alexander John Ellis | 14 September 1865 |
| RR/5/68 | Letter by Henry John Stephen Smith, to George Gabriel Stokes, regarding a paper 'Introductory memoir on plane stigmatics' by Alexander John Ellis | 15 September 1865 |
| RR/5/69 | Referee's report by Thomas Archer Hirst, on a paper 'Introductory memoir on plane stigmatics' by Alexander John Ellis | 16 September 1865 |
| RR/8/2 | Letter from Alexander John Ellis, to George Gabriel Stokes, regarding a paper 'On the Hindoo [Hindu] division of the octave, with some additions to the theory of the higher orders' by Robert Holford Macdowall Bosanquet | 9 April 1877 |
| RR/8/3 | Referee's report by Alexander John Ellis, on a paper 'On the Hindoo [Hindu] division of the octave, with some additions to the theory of the higher orders' by Robert Holford Macdowall Bosanquet | 9 April 1877 |
| MC/15/104 | Letter from Tristram [James] Ellis, West Kensington, to the Secretary of the Royal Society | 30 October 1890 |
| MC/15 | Volume 15 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1889-1892 |
| HS/7/39 | Letter, from Alexander John Ellis to Sir John Herschel, dated at Edinburgh | 9 April 1856 |
| HS/7/41 | Letter, from Alexander John Ellis to Sir John Herschel, dated at Colney Hatch | 1 March 1859 |
| HS/22/154 | Copy letter, from Sir John Herschel to Alexander John Ellis, dated at Collingwood | 26 May 1843 |
| HS/7/42 | Letter, from Alexander John Ellis to Sir John Herschel, dated at Argyll Road Kensington | 28 October 1868 |
| HS/7/40 | Letter, from Alexander John Ellis to Sir John Herschel, dated at Colney Hatch | 24 February 1859 |