 Sir Thomas had married the heiress Jane Cheek, granddaughter of a wealthy merchant, Henry Whistler, to whose vast inheritance she succeeded in 1719.Webster was succeeded by his son, Sir Whistler Webster, 2nd Baronet, who died childless in 1779, being succeeded in the baronetcy by his brother.Battle Abbey remained in the Webster family until 1857, when it was sold to Lord Harry Vane, later Duke of Cleveland.