Barnard Castle County Durham. Antique print of Barnard Castle located in a market town in Teesdale, County Durham, England. The town is named after the castle around which it grew up. It is the main settlement in the Teesdale area. Antique copper-plate engraving of Barnard Castle, Durham. Dated in the plate 25 March 1784. Size of engraved area approx 5x6ins.