 The highest point is Cowherd Mountain at 1,196 ft (345 m), approximately 2.5 miles (4 km) northwest of Gordonsville.Orange County lies within the watersheds of both the Rappahannock River and the York River, both of which drain into the Chesapeake Bay.At the 2010 census there were 33,481 people, 12,895 households (14,616 total housing units) and 9,342 families residing in the county.