| Reference number | Title | Date |
| EXP/11/1/1/216 | Halley Bay expedition, file 'IGY/Finance estimates 1959-60', D, Scientific Committee on Antarctic Research/ International Geophysical Year | 20 March 1959- 30 May 1960 |
| EXP/11/1/1/217 | Halley Bay expedition, file 'IGY/Finance estimates 1959-60', E, Scientific Committee on Antarctic Research/ International Geophysical Year | 28 October 1958- 29 February 1960 |
| RR/31/56 | Referee's report by Horace Lamb, on a paper 'Elastic waves at the surface of separation of two solids' by Robert Stoneley | [July 1924] |
| RR/69/265 | Referee's report by Robert Stoneley, on three papers 'Large elastic deformations of isotropic materials. Parts I, II, and III' by R S Rivlin | 1945 |
| RR/72/183 | Referee's report by Robert Stoneley, on a paper 'A theory of the origin of microseisms' by Michael Selwyn Longuet-Higgins | 1949 |
| RR/69/267 | Letter from Robert Stoneley, on three papers 'Large elastic deformations of isotropic materials. Parts I, II, and III' by R S Rivlin to David Christie Martin, Assistant Secretary of the Royal Society | 4 April 1947 |
| RR/69/266 | Letter from Robert Stoneley, on three papers 'Large elastic deformations of isotropic materials. Parts I, II, and III' by R S Rivlin to J D Griffith Davies, Assistant Secretary of the Royal Society | 2 January 1947 |
| RR/71/278 | Referee's report by Robert Stoneley, on a paper 'Seismic experiments on the North German explosions, 1946 to 1947' by P L Willmore | 1948 |
| IM/GA/WRS/9335 | Stoneley, Robert | nd |
| EC/1935/17 | Stoneley, Robert: certificate of election to the Royal Society | |
| RR/61/114 | Referee's report by Robert Stoneley, on a paper 'Tides in oceans bounded by meridians III. Ocean bounded by complete meridian semidiurnal tides' by Arthur Thomas Doodson | February 1938 |
| RR/65/217 | Referee's report by Robert Stoneley, on a paper 'Electromagnetic induction in non-uniform conductors, and the determination of the conductivity of the Earth from terrestrial magnetic variations' by A T Price and B N Lahiri | June 1938 |
| RR/66/71 | Referee's report by Robert Stoneley, on a paper 'Tides in oceans bounded by meridians IV. Series solutions in terms of angular width of ocean: semidiurnal tides in narrow oceans V. Solutions by use of finite differences: semidiurnal tides' by Arthur Thomas Doodson | [July 1939] |
| RR/73/63 | Referee's report by Robert Stoneley, on a paper 'Identification of microseismic activity with sea waves' by J Darbyshire | 1950 |