Eastgate is a village in the civil parish of Stanhope, in County Durham, England. It is situated in Weardale, a few miles west of Stanhope. In the 2001 census Eastgate had a population of 163. Eastgate originally marked the eastern border of the private hunting park of the Prince Bishops of Durham. This was second in extent only to the royal hunting park of t…Eastgate is a village in the civil parish of Stanhope, in County Durham, England. It is situated in Weardale, a few miles west of Stanhope. In the 2001 census Eastgate had a population of 163. Eastgate originally marked the eastern border of the private hunting park of the Prince Bishops of Durham. This was second in extent only to the royal hunting park of the New Forest in Hampshire.