| Reference number | Title | Date |
| EC/1909/08 | Barnes, Ernest William: certificate of election to the Royal Society | |
| NLB/52/649 | Copy letter from [Robert William Frederick Harrison, Assistant Secretary of the Royal Society]; to Messrs Harrison & Sons | 3 February 1916 |
| NLB/20/791 | Copy letter from Michael Foster, to Ernest William Barnes, [Fellow of the Royal Society], Trinity College, Cambridge | 10 July 1900 |
| NLB/40/709 | Copy letter from Robert William Frederick Harrison to Messrs Harrison & Sons | 16 July 1909 |
| RR/15/152 | Referee's report by Ernest William Hobson, on a paper 'A memoir on integral functions' by Ernest William Barnes | October 1901 |
| NLB/20/366 | Copy letter from Robert William Frederick Harrison, to Dr Ernest William Hobson, Fellow of the Royal Society | 3 April 1900 |
| NLB/20/752 | Copy letter from Robert William Frederick Harrison, to Ernest William Barnes, [Fellow of the Royal Society], Trinity College, Cambridge | 28 June 1900 |
| NLB/23/2/218 | Copy letter from Joseph Larmor, to Ernest William Barnes, [Fellow of the Royal Society] | 24 June 1902 |
| NLB/24/6 | Copy letter from Joseph Larmor, to [Ernest William] Barnes, [Fellow of the Royal Society] | 13 February 1902 |
| NLB/32/512 | Copy letter from Joseph Larmor, to Reverend Ernest William Barnes, [Fellow of the Royal Society] | 22 March 1906 |
| NLB/32/51 | Copy letter from Joseph Larmor, to Sir William Niven, [Fellow of the Royal Society] | 17 December 1905 |
| NLB/32/524 | Copy letter from Robert William Frederick Harrison, to Professor William Burnside, Fellow of the Royal Society, Chairman of the Mathematics Sectional Committee | 26 March 1906 |
| NLB/40/355 | Copy letter from Robert William Frederick Harrison to Harrison & Sons | 26 May 1909 |
| NLB/52/380 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; toThe Secretary of the British Academy | 23 November 1915 |
| NLB/54/201 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Messrs Harrison & Sons | 28 February 1917 |
| NLB/54/197 | Copy letter from [Robert William Frederick Harrison, Assistant Secretary of the Royal Society]; to Professor [William Henry] Eccles, Secretary of the Physical Society of London and FRS | 28 February 1917 |
| NLB/57/227 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Messrs. Harrison & Sons | 20 September 1919 |
| IM/000259 | Barnes, Ernest William | nd |
| RR/16/259 | Referee's report by Ernest William Hobson, on a paper 'The asymptotic expansion of integral functions defined by Taylor's series' by Ernest William Barnes | November 1905 |
| NLB/20/628 | Copy letter from Arthur William Rucker, to Ernest William Barnes, [Fellow of the Royal Society], Trinity College, Cambridge | 1 June 1900 |
| RR/15/153 | Referee's report by Henry Frederick Baker, on a paper 'A memoir on integral functions' by Ernest William Barnes | 1 February 1902 |
| NLB/57 | New Letter Book volume 57, copy letters sent from Royal Society administration | 27 June 1919-27 February 1920 |
| 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 |
| NLB/20/655 | Copy letter from an unknown correspondent, to Professor Andrew Russell Forsyth, Fellow of the Royal Society | 13 June 1900 |
| RR/15/5 | Referee's report by Ernest William Hobson, on a paper 'The theory of the double gamma function' by Ernest William Barnes | April 1900 |
| RR/15/6 | Referee's report by Henry Frederick Baker, on a paper 'The theory of the double gamma function' by Ernest William Barnes | 5 May 1900 |
| MC/21 | Volume 21 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1906 |
| MC/21/22 | Letter from [Ernest William] Barnes, Trinity College, Cambridge, to the Royal Society | 21 March 1906 |