They had four sons, including Sir Thomas Arden Price, and one daughter. Henrietta their daughter was a well known maid of honour to the Queen and married at St Andrew's Holborn in London in 1673 Alexander Stanhope, a lawyer (a son of Sir John). It seems she died in childbirth.
Their daughter, the younger Goditha, was the mistress of the future King James II in the 1660s. According to Samuel Pepys, the affair was conducted with great discretion: a later mistress of James, Lady Denham, said scornfully that she would not "go up and down the back stairs like Mistress Price".[4] Goditha is thought to have had a daughter, Mary, by James. The Priory passed to Herbert's cousin Colonel John Jeffreys of Abercynrig, whose mother was a Price.