Capon Bridge is a town located in eastern Hampshire County, West Virginia along the Northwestern Turnpike (U.S. Route 50), approximately twenty miles west of Winchester, Virginia. Originally known as Glencoe, Capon Bridge was incorporated in 1902 by the Hampshire County Circuit Court. It is named because of the construction of the bridge over the Cacapon River at that place, the name of the river being derived from the Shawnee, "Cape-cape-de-hon", meaning "river of medicine water."