 He was married in 1714 to Anne Somerset, daughter and coheiress of Lord Arthur Somerset of Poston Court in Vowchurch, Herefordshire (younger son of Henry Somerset, 1st Duke of Beaufort), by his wife Mary, daughter and heiress of Sir William Russell, 1st baronet of Laugharne, Carmarthenshire.He was Steward of the courts, for Denbigh until 1740.Price's father had been Member of Parliament for Weobley until he became Baron of the Exchequer in 1702 when he was succeeded in the seat by his elder son Thomas, who was then only 21 or 22.