 William's son, Edmund (1603–1678), was Governor of Wallingford Castle, and later became Baron Burnell of East Wittenham, though he lost this title at the Restoration (this being the only title conferred by the Protector and not confirmed by Charles II).He too represented Wallingford in 1627 and 1640, and was High Sheriff of Berkshire.Edmund's son Hungerford Dunch (1639–1680) was returned for Wallingford in 1660 but elected to serve for Cricklade.