Bishopp was the son Sir Thomas Bishopp, an important Sussex magistrate with property close to Steyning. In 1625 he married the daughter of Sir Nicholas Tufton, a Kentish baronet and crypto-Catholic. After his death, the parliamentary committee for the advance of money described Bishopp as a recusant, but there is no other evidence that he was inclined to Catholicism.
Bishopp fled after the coroner’s inquest and was subsequently found guilty of manslaughter, for which he was sentenced to be burned in the hand.
Appointed sheriff of Sussex in 1636, Bishopp promptly eased the Ship Money assessment of his own rape at the expense of its neighbour. He was also accused by the Privy Council of deliberately trying to obstruct the levy by appointing a recusant knight incapacitated by gout who resided elsewhere as collector in one rape.
Bishopp had returned to England by April 1640, when he unsuccessfully stood as a candidate at a by-election held at Bramber. He was involved in a double return for the same borough in the autumn of 1640, but the election was declared void due to corruption.
