William Greaves was born in Rochdale, Lancs and was the son of William, of Gartside Hall, Lancashire.
He was admitted to Clare on 26 January 1719/20.
B.A. 1720/1. M.A. 1724
Fellow, 1722-42.
Admitted at Lincoln's Inn on 03 June 1724 and at the Inner Temple on 09 November 1727.
Commissary of the University, 1726-79.
Steward of the estates of Trinity College.
Married a daughter of Beaupré Bell.
Succeeded to his estates at Outwell, Norfolk, and assumed the name of Beaupré-Bell.
Died at Fulbourn, Cambridgeshire, 10 March 1787.