[1][2] He was born at Gorhambury in Hertfordshire, and was educated at Eton College and Christ's College, Cambridge, matriculating in 1768 and graduating M.A.
He became Member of Parliament for St Albans in 1784, filling the place of his brother James (who, as an Irish peer, could sit in the House of Commons); James Grimston withdrew as a candidate on polling day and William took the seat.
In the 1790 general election, he stepped aside, in favour of John Calvert.
They had a daughter, Sophia Askell (1784–1859), who had a court position as woman of the bedchamber to Adelaide of Saxe-Meiningen.
The other child of the marriage, John, died an infant.