On 17 March 1769 he made himself conspicuous at Cambridge by voting with John Jebb in a minority of two against the Tory address to George III.
[2] Tyson was ordained deacon by John Green at Whitehall chapel on 11 March 1770, and until 1772 was minister of Sawston, Cambridgeshire.
[2] In March 1778 Tyson was inducted, after a long legal dispute, to the rectory of Lambourne near Ongar in Essex.
[2] An account by Tyson of a fish brought by Commodore John Byron from the Pacific appeared in the Philosophical Transactions of 1771; and he wrote English verses in the university collections on the accession of George III (1760), his marriage (1761), the birth of the Prince of Wales (1762), and on the peace (1763).
He contemplated a work on Queen Elizabeth's progresses, but it was carried out by John Nichols, who received information from Tyson.
A description of an illuminated manuscript at Corpus Christi College, with plates by him, was printed as his paper in Archæologia (ii.
[3] He was also friendly with James Essex, Horace Walpole, Sir John Cullum, 6th Baronet, and Samuel Henley.
Gough paid tributes to his memory in Sepulchral Monuments (which has some of Tyson's drawings), and in his edition of William Camden's Britannia.
[4] On 4 July 1778 he was married at St Bene't's Church, Cambridge, to Margaret, daughter of Hitch Wale of Shelford in Cambridgeshire.