Elkton is a city in Giles County, Tennessee, United States. The population was 578 at the 2010 census.GeographyElkton is located in southeastern Giles County at. Most of the city is on the north bank of the Elk River, a southwest-flowing tributary of the Tennessee River.U.S. Route 31 passes through the west side of the city, leading northwest to Pulaski, the Giles County seat, and south 5mi to Ardmore at the Alabama border. Interstate 65 passes just east of Elkton, with access from Exit 1 (US 31) south of town and from Exit 6 White, 35.10% African American and 0.39%
