| RefNo | Title | Date |
| IM/003327 | Niven, Sir William Davidson | nd |
| MM/16/56 | Letter from James Clerk Maxwell, Ardhallow, Dunoon, to WD Niven | c.1874-1875 |
| NLB/5/193 | Copy letter from Herbert Rix, to William Davidson Niven, Fellow of the Royal Society | 11 April 1891 |
| NLB/7/634 | Copy letter from Herbert Rix, to William Davidson Niven, Fellow of the Royal Society | 27 March 1893 |
| NLB/14/143 | Copy letter from Robert William Frederick Harrison, to Dr Thomas Lauder Brunton; William Davidson Niven; Professor M Ward; Admiral William James Wharton, Fellows of the Royal Society | 12 January 1897 |
| RR/16/335 | Referee's report by William Davidson Niven, on a paper 'An account of the pendulum observations made at Kew & Greenwich Observatories in 1903' by Gerald Ponsonby Lenox-Conyngham | July 1905 |
| RR/16/414 | Referee's report by William Davidson Niven, on an unnamed paper by George Udny Yule | January 1906 |
| RR/16/417 | Referee's report by William Davidson Niven, on two papers 'On a property which holds good for all groupings of a normal distribution of frequency for two variables, with applications to the study of contingency-tables for the inheritance of unmeasured qualities' and 'On the influence of bias and of personal equation in statistics of ill-defined qualities: An experimental study' by George Udney Yule | 18 December 1905 |
| RR/16/411 | Referee's report by William Davidson Niven, on a paper 'A property which holds good for all groupings of a normal distribution and frequency for two variables, with applications to the study of contingency-tables for the inheritance of unmeasured quantities' by George Udny Yule | January 1906 |
| NLB/17/749 | Copy letter from Robert William Frederick Harrison, to Herbert Rix | 15 December 1898 |
| RR/19/27 | Referee's report by William Davidson Niven, on a paper 'Some phenomena of sunspots and of terrestrial magnetism at Kew Observatory' by Charles Chree | [May 1912] |
| NLB/30/29 | Copy letter from Robert William Frederick Harrison, to Sir William Davidson Niven, Fellow of the Royal Society | [17] January 1905 |
| NLB/30/442 | Copy letter from Robert William Frederick Harrison, to Sir William Davidson Niven, Fellow of the Royal Society | 24 March 1905 |
| NLB/30/560 | Copy letter from Robert William Frederick Harrison, to Sir William Davidson Niven, Fellow of the Royal Society | 12 April 1905 |
| NLB/32/27 | Copy letter from Joseph Larmor, to Sir William Niven, [Fellow of the Royal Society] | 14 December 1905 |
| NLB/32/51 | Copy letter from Joseph Larmor, to Sir William Niven, [Fellow of the Royal Society] | 17 December 1905 |
| NLB/32/36 | Copy letter from Robert William Frederick Harrison, to Sir William Niven, Fellow of the Royal Society | 14 December 1905 |
| NLB/31/548 | Copy letter from Robert William Frederick Harrison, to Sir William Davidson Niven, Fellow of the Royal Society, Chairman of the Mathematics Committee | 9 October 1905 |
| 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/35/699 | Copy letter from Joseph Larmor, to Sir William Davidson Niven, Fellow of the Royal Society | 5 July 1907 |
| NLB/36/829 | Copy letter from Joseph Larmor, to Sir William Niven, [Fellow of the Royal Society] | 24 December 1907 |
| RR/20/86 | Referee's report by William Davidson Niven, on a paper 'On the self-inductance of circular coils of rectangular section' by Thomas Ranken Lyle | May 1913 |
| NLB/54/578 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Joseph John Thomson, President of the Royal Society | 25 June 1917 |
| RR/8/174 | Referee's report by Isaac Todhunter, on a paper 'On the conduction of heat in ellipsoids of revolution' by William Davidson Niven | 11 July 1879 |
| RR/9/220 | Referee's report by William Davidson Niven, on a paper 'On the motion of fluid, part of which is moving rotationally and part irrotationally' by Micaiah John Muller Hill | 28 May 1884 |
| RR/8/175 | Referee's report by Norman Macleod Ferrers, on a paper 'On the conduction of heat in ellipsoids of revolution' by William Davidson Niven | 23 July 1879 |
| RR/11/143 | Referee's report by William Davidson Niven, on a paper 'The potential of an anchor ring' by Frank Watson Dyson | 8 June 1892 |
| RR/11/141 | Referee's report by William Davidson Niven, on a paper 'The potential of an anchor ring' by Frank Watson Dyson | 25 May 1892 |
| RR/11/142 | Referee's report by William Davidson Niven, on a paper 'The potential of an anchor ring' by Frank Watson Dyson | 8 June 1892 |
| RR/11/235 | Referee's report by William Davidson Niven, on a paper 'On the three-bar motion of watt' by William Brennand | 1893 |
| RR/11/250 | Referee's report by William Davidson Niven, on a paper 'The potential of an anchor ring' by Frank Watson Dyson | 1893 |
| RR/12/169 | Detailed referee's report by William Davidson Niven, on a paper 'On certain functions connected with tesseral harmonics, with applications' by A H Leahy | [1894] |
| RR/11/249 | Referee's report by William Davidson Niven, on a paper 'The potential of an anchor ring' by Frank Watson Dyson | 12 June 1893 |
| RR/16/333 | Referee's report by William Davidson Niven, on a paper 'Effects of temperature and pressure on the thermal conductivities of solids. Part I. The effect of temperature on the thermal conductivities of some electrical insulations' by Charles Herbert Lees | January 1905 |
| RR/8/173 | Referee's report by Isaac Todhunter, on a paper 'On certain definite integrals occurring in spherical harmonic analysis and on the expansion, in series, of the potentials of the ellipsoid and the ellipse' by William Davidson Niven | 14 May 1879 |
| RR/9/191 | Referee's report by William Davidson Niven, on a paper 'On the determination of the number of electrostatic units in the electromagnetic unit of electricity' by Joseph John Thomson | 2 October 1882 |
| RR/12/170 | Referee's report by Ernest William Hobson and William Davidson Niven, on a paper 'On certain functions connected with tesseral harmonics, with applications' by A H Leahy | 8 November 1894 |
| EC/1882/17 | Niven, Sir William Davidson: certificate of election to the Royal Society | |
| IM/003326 | Niven, Sir William Davidson | nd |
| NLB/6/372 | Copy letter from Herbert Rix, to Professor William Davidson Niven, Fellow of the Royal Society | 26 April 1892 |
| RR/16/334 | Referee's report by William Davidson Niven, on a paper 'On pendulum observations at Kew & Greenwich' by Gerald Ponsonby Lenox-Conyngham | 4 July 1905 |
| RR/17/25 | Referee's report by William Davidson Niven, on a paper 'Roche's Ellipsoids and on allied problems relating to satellites' ['On the figure and stability of a liquid satellite'] by George Howard Darwin | 21 February 1906 |
| NLB/30/497 | Copy letter from an unknown correspondent, to Sir William Davidson Niven, Fellow of the Royal Society, Chairman of the Mathematics Sectional Committee | 3 April 1905 |
| RR/17/177 | Referee's report by William Davidson Niven, on a paper 'The dispersion of double refraction in relation to crystal structure' by Thomas Henry Havelock | 22 July 1907 |
| RR/9/155 | Referee's report by William Davidson Niven, on a paper 'On electrical motions in a spherical conductor' by Horace Lamb | 23 May 1883 |
| RR/11/213 | Referee's report by William Davidson Niven, on a paper 'Repulsion and rotation produced alternating electric currents' by Gilbert Thomas Walker | 27 January 1892 |
| RR/9/190 | Referee's report by William Davidson Niven, on a paper 'On the determination of the number of electrostatic units in the electromagnetic unit of electricity' by Joseph John Thomson | 18 September 1883 |
| RR/10/365 | Referee's report by Norman Macleod Ferrers, on a paper 'On ellipsoidal harmonics' by William Davidson Niven | 2 December 1890 |
| RR/8/52 | Referee's report by Morgan William Crofton, on a paper 'On the calculation of the trajectories of shot' by William Davidson Niven | 12 January 1877 |
| RR/16/402 | Memoranda from Robert William Frederick Harrison, and reply from Wiliam Davidson Niven, on a paper 'Mathematical concepts of the material world' by Alfred North Whitehead | 14 December 1905 |
| RR/16/418 | Referee's report by William Davidson Niven, on a memoir 'On a property which holds good for all groupings of a normal distribution of frequency for two variables, with applications to the study of contingency-tables for the inheritance of unmeasured qualities' by Reverend E W Barnes and on papers 'On the influence of bias and of personal equation in statistics of ill-defined qualities: An experimental study' by George Udny Yule | 19 December 1905 |
| AP/58/12 | Unpublished paper, 'On the calculation of the trajectories of shot' by W D [William Davidson] Niven | 1876 |
| RR/8/53 | Referee's report by John Couch Adams, on a paper 'On the calculation of the trajectories of shot' by William Davidson Niven | nd [1877] |
| RR/12/348 | Second referee's report by Ernest William Hobson and William Davidson Niven, on a paper 'On certain functions connected with tesseral harmonics, with applications' by A H Leahy | [1895] |
| RR/11/214 | Letter from William Davidson Niven, on a paper 'Repulsion and rotation produced alternating electric currents' by Gilbert Thomas Walker to the Secretary of the Royal Society | 8 February 1892 |
| RR/12/168 | Referee's report by William Davidson Niven, on a paper 'On certain functions connected with tesseral harmonics, with applications' by A H Leahy | 24 October 1894 |
| RR/12/331 | Referee's report by William Davidson Niven, on a paper 'On a type of spherical harmonics of unrestricted degree, order, and argument' by Ernest William Hobson | 28 February 1896 |
| RR/16/277 | Referee's report by William Davidson Niven, on a paper 'On the intensity and direction of the force of gravity in India' by Lieutenant Colonel Sidney Gerald Burrard | May 1905 |
| 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 |
| RR/17/229 | Referee's report by William Davidson Niven, on a paper 'Alternate current measurement' by W E Sumpner | [January 1908] |
| MC/20 | Volume 20 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1905 |
| MC/20/242 | Letter from [William Davidson] Niven, Rosedale, St John's Road, Sidcup, to [Robert William Frederick] Harrison | 21 May 1905 |