| RefNo | Title | Date |
| EC/1850/11 | Fairbairn, Sir William: certificate of election to the Royal Society | |
| IM/001346 | Fairbairn, Sir William | nd |
| IM/Maull/001348 | Fairbairn, Sir William | nd |
| NLB/5/878 | Copy letter from Herbert Rix, to Leonard C Lindsay, Secretary, Victorian Exhibition, 121 Regent Street, W | 9 November 1891 |
| RR/3/15 | Referee's report by William Fairbairn, on a paper 'On an element of strength in beams subjected to transverse strain, named by the author - the resistance of flexure' by William Henry Barlow | 21 April 1857 |
| RR/4/87 | Referee's report by Robert Willis, on a paper 'On the resistance of glass globes and cylinders to collapse from external pressure; and on the tensile and compressive strength of various kinds of glass' by William Fairbairn and Thomas Tate | 10 June 1859 |
| RR/7/242 | Referee's report by William George Armstrong, on a paper 'On the durability and preservation of iron ships, and on riveted joints' by William Fairbairn | 10 July 1873 |
| AP/55/6/2 | Unpublished diagrams and photographs, iron rivets by William Fairbairn | 1873 |
| PT/75/7/39 | Table, 'Resistance of four-inch tubes' by [William Fairbairn?] | [1858] |
| MC/10/170 | Letter from Thomas Fairbairn, Bramridge House, Bishopstoke, to Dr Joseph [Dalton] Hooker, President of the Royal Society | 23 November 1874 |
| MS/426/513 | Copy letter from C R [Charles Richard] Weld, the Assistant Secretary of the Royal Society; to William Fairbairn | 25 April 1882 |
| IM/001349 | Fairbairn, Sir William | nd |
| PT/66/2/2 | Plate, 'Apparatus for determining the law of the expansion of superheated steam' by [William] Fairbairn | 20 March 1862 |
| RR/4/92 | Referee's report by William Hallowes Miller, on a paper 'Experimental researches to determine the density of steam at different temperatures, and to determine the law of expansions of superheated steam' by William Fairbairn and Thomas Tate | [1860] |
| PT/39/7/18 | Plate, beam with a double flanch by William Fairbairn | 10 April 1850 |
| RR/4/89 | Referee's report by Robert Willis, on a paper 'Experimental researches to determine the density of steam at different temperatures, and to determine the law of expansions of superheated steam' by William Fairbairn and Thomas Tate | 23 March 1860 |
| PT/70/5 | Paper, 'Experiments to determine the effect of impact, vibratory action, and long continued changes of load on wrought iron girders' by W [William] Fairbairn | [1864] |
| PT/39/7/15 | Plate, wrought-iron beam with vertical rib and angle-irons by William Fairbairn | 10 April 1850 |
| PT/75/7/36 | Table, 'Resistance of twelve-inch tubes' by [William Fairbairn?] | [1858] |
| PT/39/7/9 | Plate, strength of riveted plates by William Fairbairn | 10 April 1850 |
| PT/39/7/12 | Plate, section of angle-iron beam by William Fairbairn | 10 April 1850 |
| PT/39/7/13 | Plate, solid wrought-iron beams by William Fairbairn | 10 April 1850 |
| PT/39/7/2 | Plate, plan and section of Low Moor Yorkshire iron plates by William Fairbairn | 10 April 1850 |
| PT/39/7/8 | Plate, single riveted plate of iron by William Fairbairn | 10 April 1850 |
| PT/39/7/4 | Plate, strength of riveted plates of Yorkshire iron by William Fairbairn | 10 April 1850 |
| PT/39/7/6 | Plate, strength of riveted plates by William Fairbairn | 10 April 1850 |
| PT/39/7/10 | Plate, iron frames for construction by William Fairbairn | 10 April 1850 |
| PT/39/7/7 | Plate, strength of riveted plates by William Fairbairn | 10 April 1850 |
| PT/39/7/16 | Plate, rectangular arrangement of wrought-iron beams by William Fairbairn | 10 April 1850 |
| PT/39/7/14 | Plate, wrought-iron beam with two bars by William Fairbairn | 10 April 1850 |
| PT/39/7/3 | Plate, plan and section of Derbyshire iron plates by William Fairbairn | 10 April 1850 |
| PT/39/7/5 | Plate, strength of riveted plates by William Fairbairn | 10 April 1850 |
| PT/39/7/19 | Plate, malleable iron beam by William Fairbairn | 10 April 1850 |
| PT/39/7/11 | Plate, frame with double-angle iron for construction by William Fairbairn | 10 April 1850 |
| PT/39/7/17 | Plate, beam with a single flanch by William Fairbairn | 10 April 1850 |
| RR/3/102 | Referee's report by William John Macquorn Rankine, on a paper 'On the resistance of tubes to collapse' by William Fairbairn | 29 May 1858 |
| RR/3/101 | Referee's report by Robert Willis, on a paper 'On the resistance of tubes to collapse' by William Fairbairn | 24 May 1858 |
| PT/60/12/2 | Plate, two globes connected by bent tube filled with mercury by unknown artist | [1860] |
| PT/60/12/3 | Plate, 'Apparatus for experiments on the density of steam at pressures from 15 to 70 lbs. per sq. in.' by [William] Fairbairn | [1860] |
| PT/60/12/4 | Plate, 'Apparatus for ascertaining the density of steam, at pressures below that of the atmosphere' by [William] Fairbairn | [1860] |
| PT/60/12/1 | Manuscript, 'Experimental researches to determine the density of steam at different temperatures, and to determine the law of expansion of superheated steam' by William Fairbairn and Thomas Tate | [1860] |
| PT/60/12/5 | Plate, 'Specific volume or ratio of volume of steam to that of the water which produced it' by unknown artist | [1860] |
| RR/4/88 | Referee's report by William John Macquorn Rankine , on a paper 'On the resistance of glass globes and cylinders to collapse from external pressure; and on the tensile and compressive strength of various kinds of glass' by William Fairbairn and Thomas Tate | 6 July 1859 |
| PT/66/2 | Paper, 'On the law of expansion of superheated steam' by William Fairbairn and Thomas Tate | [1862] |
| PT/66/2/1 | Manuscript, 'On the law of expansion of superheated steam' by William Fairbairn and Thomas Tate | [1862] |
| PT/60/12/6 | Plate, incorrect version of 'Specific volume or ratio of volume of steam to that of the water which produced it' by unknown artist | [1860] |
| PT/39/7/1 | Manuscript, 'An experimental inquiry into the strength of wrought iron plates and their rivetted [sic] joints as applied to ship-building and vessels exposed to severe strains' by Wm [William] Fairbairn | 10 April 1850 |
| PT/75/7/34 | Table, 'Resistance of eight inch tubes' by [William Fairbairn?] | [1858] |
| PT/75/7/41 | Table, 'Resistance of tubes to internal pressure' by [William Fairbairn?] | [1858] |
| PT/75/7/38 | Table, 'Resistance of eight-inch tubes' by [William Fairbairn?] | [1858] |
| PT/75/7/31 | Diagrams, tubes and apparatuses used in resistance experiments by [William Fairbairn?] | [1858] |
| PT/75/7/37 | Table, 'Resistance of tubes with lap- and butt-joints' by [William Fairbairn?] | [1858] |
| MC/6 | Volume 6 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1859-1863 |
| Pt/39/7/20 | Plate, malleable iron beam by William Fairbairn | 10 April 1850 |
| MC/8/190 | Letter from W [William] Fairbairn, the Athenaeum, to the Royal Society | 11 May 1868 |
| RR/5/75 | Referee's report by Robert Willis, on a paper 'Experiments to determine the effect of impact, vibratory action, and long-continued changes of load on wrought-iron girders' by William Fairbairn | 7 March 1864 |
| MC/10/180 | Letter from Thomas Fairbairn, Bramridge House, Bishopstoke, to Professor [Thomas Henry] Huxley, [Secretary of the Royal Society] | 17 December 1874 |
| MC/10 | Volume 10 of miscellaneous correspondence regarding business matters, sent to the Royal Society | July 1873-1876 |
| PT/39/7 | Paper, 'An experimental inquiry into the strength of wrought iron plates and their rivetted [sic] joints as applied to ship-building and vessels exposed to severe strains' by Wm [William] Fairbairn | 10 April 1850 |
| PT/75/7/32 | Table, 'Resistance of four-inch tubes' by [William Fairbairn?] | [1858] |
| PT/75/7/33 | Table, 'Resistance of six-inch tubes' by [William Fairbairn?] | [1858] |
| PT/75/7/35 | Table, 'Resistance of ten inch tubes' by [William Fairbairn?] | [1858] |
| AP/39/21 | Unpublished paper, 'On the action of aqueous vapour in disturbing the atmosphere' by Thomas Hopkins | 1857 |
| AP/41/4 | Unpublished paper, 'On the influence of heated terrestrial surfaces in disturbing the atomsphere' by Thomas Hopkins | 1858 |
| AP/40/13 | Unpublished paper, 'On the daily fall of the barometer at Toronto' by Thomas Hopkins | 1857 |
| RR/7/241 | Referee's report by William Pole, on a paper 'On the durability and preservation of iron ships, and on riveted joints' by William Fairbairn | 21 June 1873 |
| AP/55/6 | Unpublished paper, 'On the durability and preservation of iron ships and on riveted joints' by William Fairbairn | 1873 |
| AP/55/6/1 | Unpublished manuscript, 'On the durability and preservation of iron ships and on riveted joints' by William Fairbairn | 1873 |
| MC/8 | Volume 8 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1867-1869 |
| P/0039 | Portrait of Fairbairn, Sir William | 1872 |
| S/0010 | Sculpture bust of Fairbairn, Sir William | 1855 |
| RR/5/73 | Referee's report by Alexander William Williamson, on two papers, 'On the oxidation and disoxidation effected by the alkaline peroxides' by Benjamin Collins Brodie and 'On the law of expansion of superheated steam' by William Fairbairn | 22 October 1862 |
| PT/60/12 | Paper, 'Experimental researches to determine the density of steam at different temperatures, and to determine the law of expansion of superheated steam' by William Fairbairn and Thomas Tate | [1860] |
| RR/1/61 | Referee's report by Robert Willis, on a paper 'An experimental inquiry into the strength of wrought-iron plates and their riveted joints as applied to ship-building and vessels exposed to severe strains' by William Fairbairn | 26 June 1850 |
| RR/3/235 | Referee's report by William Fairbairn, on a paper 'On the stability of loose earth' by William John Macquorn Rankine | 28 November 1856 |
| RR/5/74 | Referee's report by William Pole, on a paper 'Experiments to determine the effect of impact, vibratory action, and long-continued changes of load on wrought-iron girders' by William Fairbairn | 16 April 1864 |
| PT/75/7/40 | Table, 'Resistance of elliptical tubes' by [William Fairbairn?] | [1858] |
| PT/75/8/5 | Diagrams, glass cylinders, globes, and resistance apparatus by unknown artist | [1859] |
| PT/75/8/6 | Diagrams, glass cylinders and resistance apparatus by unknown artist | [1859] |
| MC/6/200 | Letter from Thomas Fairbairn, 23 Queen's Gate, to General [Edward] Sabine, President of the Royal Society | 7 February 1862 |
| MC/17 | Volume 17 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1897-1899 |
| HS/7/363 | Letter, from William Fairbairn to Sir John Herschel, dated at Manchester | 14 March 1867 |