He married Katherine Berkeley, daughter of Sir Maurice Berkeley of Beverstone Castle, Gloucestershire and Anne West, daughter of Reginald West, 6th Baron De La Warr.
His brother-in-law, Sir William Berkeley, was a leading member of Buckingham's revolt in 1483, and was attainted as a traitor by the Parliament of 1484.
Richard III was prepared to pardon Berkeley on condition that Stourton, who retained the King's confidence, and had sat in the Parliament which passed the attainder, enter a bond for 1000 marks as surety for Berkeley's good behaviour.
Shortly afterwards Berkeley fled the country to join Henry VII and Stourton was obliged to find the money to pay the bond.
His widow remarried Sir John Brereton, and had one surviving daughter Werburga.