There have been two baronetcies created, both in the Baronetage of England, for members of the Twysden (or Twisden) family of Kent.
His son and heir, Roger the second Baronet, was an ardent supporter of Charles I which caused him great problems during the Commonwealth of England.
He was a lawyer, Serjeant at Law, and a High Court judge who presided at the trial of regicides.
On his death, a legal dispute arose as to the succession, settled in favour of Captain John Twisden, son of the disinherited William.
His son John Francis was reinstated as de jure seventh Baronet.