Sir Moyle Finch was succeeded in the baronetcy by his eldest son Theophilus, the 2nd Baronet (1573-1619). He sat as Member of Parliament for Great Yarmouth but died childless in circa 1619. He was succeeded by his younger brother, the 3rd Baronet. He represented Winchelsea and Kent in the House of Commons. In 1634 he also succeeded his mother as 2nd Earl of Winchilsea. His son, the 3rd Earl, supported the Restoration in 1660 and was thanked for his efforts the same year when he was created Baron FitzHerbert of Eastwell, in the County of Kent, in the Peerage of England. He was succeeded by his grandson, the 4th Earl. He was the son of William Finch, Viscount Maidstone (1652–1672), eldest son of the 3rd Earl. Lord Winchilsea served as President of the Board of Trade and as Lord Lieutenant of Kent. His wife Anne Finch, Countess of Winchilsea, was a well-known poet.