BARFORTH, a township in the parish of FORCBTT, western division of the wapentake of GILLING, North riding of the county of YORK, 6 miles (E.) from Barnard- Castle, containing 141 inhabitants. Within this township, which is situated on the banks of the Tees, are the inconsiderable ruins of Old Richmond, a place formerly of some note, as is evident from the relics that are frequently dug up: the remains consist only of an old ruinous chapel, with some visible inequalities in the surface of the ground.