Duke of Cleveland
Vane was the third son of William Vane, 1st Duke of Cleveland KG (1766–1842), by his wife Lady Catherine Margaret Powlett, daughter of Admiral Harry Powlett, 6th Duke of Bolton (1720–1794). His elder brothers were Henry Vane, 2nd Duke of Cleveland KG (1788–1864), and William Vane, 3rd Duke of Cleveland (1792–1864).