Sir John Gresham's heir was William Gresham, whose son was Sir Thomas Gresham (died 1630), whose son and heir was Sir Edward Gresham. The house and estate passed through several generations of the Gresham family, who were created Baronets by Charles II at the time of his Restoration in 1660. The successive baronets were Sir Marmaduke Gresham, 1st Baronet (1627-1696), Sir Edward Gresham, 2nd Baronet (1649-1709), Sir Charles Gresham, 3rd Baronet (1660-1718), Sir Marmaduke Gresham, 4th Baronet (1700-1742), Sir Charles Gresham, 5th Baronet (died 1750), and Sir John Gresham, 6th and last Baronet (1735-1801).