| RefNo | Title | Date |
| IM/Maull/000685 | Burnside, William | nd |
| NLB/11/328 | Copy letter from an unknown correspondent, to Messrs Harrison & Sons | 5 June 1895 |
| NLB/10/713 | Copy letter from Herbert Rix, to Professor [William] Burnside, Fellow of the Royal Society | 25 January 1895 |
| NLB/11/710 | Copy letter from Herbert Rix, to Professor William Burnside, Fellow of the Royal Society, The Laurels, Hither Green Lane, S.E. | 23 September 1895 |
| NLB/11/723 | Copy letter from Herbert Rix, to Professor William Burnside, Fellow of the Royal Society, The Laurels, Hither Green Lane, S.E. | 25 September 1895 |
| RR/17/322 | Referee's report by William Burnside, on a paper 'Functions of positive and negative type' by James Mercer | January 1908 |
| RR/16/56 | Referee's report by William Burnside, on a paper 'The differential invariants of space' by Andrew Russell Forsyth | July 1903 |
| RR/16/60 | Referee's report by William Burnside, on a paper 'The third elliptic integral' by Alfred George Greenhill | January 1904 |
| RR/16/400 | Referee's report by William Burnside, on a paper 'Mathematical concepts of the material world' by Alfred North Whitehead | October 1905 |
| RR/16/275 | Referee's report by Edwin Bailey Elliott and John Edward Campbell, on a paper 'The simple group of order 25920' by Professor William Burnside | January 1906 |
| RR/16/203 | Referee's report by William Burnside, on a paper 'The Basic-Gamma-Function and the Elliptic Functions' by Reverend F H Jackson | December 1904 |
| NLB/15/631 | Copy letter from Arthur William Rucker, to Professor William Burnside, Fellow of the Royal Society | 8 November 1897 |
| NLB/18/89 | Copy letter from Robert William Frederick Harrison, to Professor A R Forsyth, Fellow of the Royal Society, Trinity College, Cambridge | 12 January 1899 |
| NLB/16/790 | Copy letter from Arthur William Rucker, to Professor Burnside, Fellow of the Royal Society | 7 June 1898 |
| NLB/20/629 | Copy letter from Theodore E James, to Messrs Harrison & Sons | 6 June 1900 |
| NLB/17/571 | Copy letter from Arthur William Rucker, to George Henry Darwin, [Fellow of the Royal Society] | 20 November 1898 |
| NLB/20/13 | Copy letter from Robert William Frederick Harrison, to Professor William Burnside, Fellow of the Royal Society | 13 January 1900 |
| NLB/24/238 | Copy letter from Sir Michael Foster, to Professor William Burnside, Fellow of the Royal Society | 9 April 1902 |
| NLB/23/2/555 | Copy letter from Archibald Geikie, to Professor William Burnside, Fellow of the Royal Society | 8 November 1904 |
| NLB/26/249 | Copy letter from Joseph Larmor to, Professor William Burnside, Fellow of the Royal Society | 16 February 1903 |
| NLB/25/179 | Copy letter from A H White, to Professor William Burnside, Fellow of the Royal Society | 10 September 1902 |
| NLB/28/74 | Copy letter from Robert William Frederick Harrison, to Professor Augustus Edward Hough Love, Fellow of the Royal Society | 5 January 1904 |
| NLB/32/51 | Copy letter from Joseph Larmor, to Sir William Niven, [Fellow of the Royal Society] | 17 December 1905 |
| NLB/32/159 | Copy letter from Robert William Frederick Harrison, to Professor William Burnside, Fellow of the Royal Society, Chairman of the Mathematics Sectional Committee | 17 January 1906 |
| NLB/32/225 | Copy letter from Joseph Larmor, to Professor William Burnside, Fellow of the Royal Society | 1 February 1906 |
| NLB/32/504 | Copy letter from Robert William Frederick Harrison, to Professor William Burnside, Fellow of the Royal Society, Chairman of the Mathematics Sectional Committee | 21 March 1906 |
| NLB/33/751 | Copy letter from Robert William Frederick Harrison, to Professor William Burnside, Fellow of the Royal Society | 30 October 1906 |
| NLB/71/269 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to Prof. [Andrew Russell] Forsyth, FRS | 6 March 1928 |
| NLB/36/5 | Copy letter from Robert William Frederick Harrison, to Professor William Burnside, Fellow of the Royal Society, Chairman of the Mathematics Sectional Committee | 23 July 1907 |
| NLB/35/710 | Copy letter from Robert William Frederick Harrison, to Professor Joseph Larmor, Secretary, Royal Society | 9 July 1907 |
| NLB/34/906 | Copy letter from Robert William Frederick Harrison, to Professor William Burnside, Fellow of the Royal Society, Chairman of the Mathematics Committee | 23 March 1907 |
| NLB/46/777 | Copy letter from Robert William Frederick Harrison, to Professor William Burnside, Fellow of the Royal Society | 1 November 1912 |
| NLB/60/336 | Copy letter from James Hopwood Jeans, Secretary of the Royal Society; to Professor [William] Burnside, FRS | 21 January 1921 |
| NLB/56/204 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to [Messrs Harrison & Son] | 16 December 1918 |
| NLB/54/576 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor [William] Burnside, FRS | 25 June 1917 |
| NLB/56/268 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor [William] Burnside, FRS | 3 January 1919 |
| RR/14/105 | Letter from William Burnside, to Mr Harrison, regarding a paper 'On the connexion of algebraic functions with automorphic functions' by Edmund Taylor Whittaker | 9 May 1898 |
| RR/12/135 | Referee's report by William Burnside, on a paper 'On operations in physical mathematics. Part III' by Oliver Heaviside | nd [1894] |
| NLB/60/121 | Copy letter from Edwin Deller, Assistant Secretary of the Royal Society; to Professor [William] Burnside, FRS | 11 December 1920 |
| RR/12/282 | Referee's report by William Burnside, on a paper 'On the applications of the kinetic theory to dense gases' by Samuel Hawksley Burbury | 6 February 1895 |
| RR/14/269 | Detailed referee's report by William Burnside, on a paper 'Sets of operations in relation to groups of finite order' by Alfred North Whitehead | nd [1899] |
| RR/17/239 | Referee's report by William Burnside, on a paper 'On the theory of correlation for any number of variables, treated by a new system of notation' by George Udny Yule | [February 1907] |
| RR/23/82 | Referee's report by William Burnside, on a paper 'On the iteration of certain functions' by Ronald Ross | 23 July 1916 |
| RR/15/370 | Referee's report by William Burnside, on a paper 'Mathematical contributions to the theory of evolution. XI. On the influence of natural selection on the variability and correlation of organs' by Karl Pearson | February 1902 |
| RR/17/410 | Letter from William Burnside, on a paper 'The flight of a rifled projectile in air' by J B Henderson | 8 March 1909 |
| IM/000686 | Burnside, William | 1922 |
| NLB/71/64 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to Mrs. Burnside | 17 December 1927 |
| NLB/41/463 | Copy letter from Robert William Frederick Harrison, to Professor William Burnside, Fellow of the Royal Society | 18 December 1909 |
| RR/12/379 | Referee's report by William Burnside, on a paper 'On the Abelian system of differential equations, and their rational and integral algebraic integrals, with a discussion of the periodicity of Abelian functions' by W R Westropp Roberts | 2 February 1895 |
| NLB/28/124 | Copy letter from Robert William Frederick Harrison, to Professor Augustus Edward Hough Love, Fellow of the Royal Society | 13 January 1904 |
| NLB/36/775 | Copy letter from Robert William Frederick Harrison, to Professor William Burnside, Fellow of the Royal Society, Chairman of the Mathematics Sectional Committee | 13 December 1907 |
| EC/1893/02 | Burnside, William: certificate of election to the Royal Society | |
| RR/16/258 | Referee's report by William Burnside, on a paper 'The asymptotic expansion of integral functions defined by Taylor's series' by Ernest William Barnes | May 1905 |
| RR/14/268 | Referee's report by William Burnside, on a paper 'Sets of operations in relation to groups of finite order' by Alfred North Whitehead | nd [February 1899] |
| RR/12/283 | Second referee's report by William Burnside, on a paper 'On the applications of the kinetic theory to dense gases' by Samuel Hawksley Burbury | 7 February 1895 |
| RR/13/76 | Referee's report by William Burnside, on a paper 'Memoir on the theory of the partition of numbers. Part I' by Percy Alexander MacMahon | 22 January 1896 |
| RR/13/77 | Letter from William Burnside, on a paper 'Memoir on the theory of the partition of numbers. Part I' by Percy Alexander MacMahon to the Secretary of the Royal Society | 31 January 1896 |
| RR/14/106 | Referee's report by William Burnside, on a paper 'On the connexion of algebraic functions with automorphic functions' by Edmund Taylor Whittaker | 9 May 1898 |
| RR/16/53 | Referee's report by William Burnside, on a paper 'The differential invariants of a surface, and their geometric significance' by Andrew Russell Forsyth | March 1903 |
| RR/16/401 | Referee's report by William Davidson Niven, on a paper 'Mathematical concepts of the material world' by Alfred North Whitehead | 27 November 1905 |
| MC/19/151 | Letter from [William] Burnside, The Croft, Bromley Road, Catford, to [Joseph] Larmor | 10 January 1904 |
| MC/19/152 | Letter from [William] Burnside, The Croft, Bromley Road, Catford, to [Joseph] Larmor | 5 May 1904 |
| MC/19 | Volume 19 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1904 |