(i) Letter from S. Crompton, Great Western Railway, Cambridge to London (on notepaper for 24 St Ann's Square, Manchester) to James Crossley. Concerning his travels to Grantham (where he met Mr Turner), his visit to Sir Isaac Newton's reputed birth-place at Woolsthorpe and the "son of the apple tree which suggested the train of inquiry which ended in the theory of gravitation", and to see the portraits of Newton at Trinity Lodge, Cambridge, and the portrait of John Selden. This letter also includes a tracing of an inscription. 8 Jul 1870.
(ii) Letter from S. Crompton, London, to James Crossley. Concerning the identification of a portrait of John Selden. 9 Jul 1870.
(iii) Letter from S. Crompton, 24 St Ann's Square, [Manchester], to James Crossley. Concerning the authorship of several plays for the new catalogue of the Exchange Library. 1 Nov 1871.
(iv) Letter from S. Crompton, to James Crossley. Concerning a copy of Sir Thomas More's A Dialogue of Comfort against Tribulation, etc. (1534), dated 1573, with gilt edges. 25 Jul 1872.
(v) Letter from S. Crompton, [Nansefield?], to James Crossley. Concerning Crossley's gift of the Diary and Correspondence of Worthington, and mentioning the death of his son and the gift from Sir Walter James of an oil painting of the churchyard where his son was interred. 3 Aug 1872.
(vi) Letter from S. Crompton, 24 At Ann's Square, [Manchester], to James Crossley, Cavendish Place. Concerning a book Officium Sanctae, a book of prayers which once belonged to Evelyn and Mrs Godolphin, and the verification of its provenance with reference to Godolphin's diary. 29 Nov 1872.
(vii) Letter from S. Crompton, 24 At Ann's Square, Manchester, to James Crossley, F.S.A. Request to introduce Crossley to Edwin Waugh who requires information on Middleton, Lancashire. 8 Oct 1874.