ASENBY, a township, in the parish of Topcliffe, wapentake of Hallikeld, N. riding of York, 5¾ miles (N.) from Boroughbridge; containing 261 inhabitants. It is situated on the south-western acclivities of Swaledale, and comprises by computation 1131 acres, mostly occupied in farms. A bed of gravel affords excellent material for repairing roads; and a bed of coal-shale shows itself on the eminences of the dale. The tithes have been commuted for £250 payable to the impropriator, £64. 10. to the vicar of Topcliffe, and £20 to the Dean and Chapter of York.