HORNCLIFFE, a township in the parish of NORHAM, otherwise Norhamshire, county palatine of DURHAM, though locally to the northward of the county of Northumberland, 5 miles (W.S.W.) from.Berwick upon Tweed, containing 351 inhabitants. From Horncliffe hall is a fine prospect of the extensive plain of Merse, and the luxuriant banks of the Tweed.