Knightly Chetwood was the son of Valentine Chetwood of Buckinghamshire; he studied at Eton and King's College Cambridge (Fellow, 1675, B.A. 1676, M.A. 1679, D.D. 1691). Chetwood was ordained in 1683 and was chaplain to James II and Rector of Great Rissington, Gloucestershire (1686), prebendary of Wells (1687) and Archdeacon of York (1688). He was nominated Bishop of Bristol, but lost the position with the flight of James II; he was afterwards chaplain to the English forces in Holland (1689), Rector of Little Rissington (1702), and Dean of Gloucester (1707-20).
Plutarch's Morals, vol. 2 [trans. Chetwood]. 1684.
A sermon preached at St. Pauls, before the gentlemen educated at Eton. 1700.
Several orations ... Englished [Demosthenes]. 1703.
A sermon preach'd before the Right Honourable the Lord Mayor. 1708.
Oxford and Cambridge miscellany poems [contributor]. 1709.
The dean of Gloucester's speech in the lower House of Convocation. 1715.
A sermon preach'd at the cathedral church of Gloucester. 1715.