Elkton (formerly Conrad's Store) is an incorporated town in Rockingham County, Virginia, United States. It is included in the Harrisonburg Metropolitan Statistical Area. The population was 2,762 at the 2010 census. Elkton was named for the Elk Run stream.It is located along the south fork of the Shenandoah River at the intersections of east-west U.S. Route 33 and north-south U.S. Route 340. The town celebrated its 100th anniversary in 2008.