 Finch served with the 87th Foot at the time of the American Revolutionary War from its formation in 1779 to its disbanding in 1783, with the temporary ranks of major and lieutenant-colonel.Finch was the son of William Finch, who was in turn the second son, by his second marriage, of Daniel Finch, 2nd Earl of Nottingham (1647–1730), and Charlotte Fermor, daughter of Thomas Fermor, 1st Earl of Pomfret.His sister was Sophia Finch.