Elkton is an unincorporated community in Elkrun Township, Columbiana County, Ohio, United States. It lies along Ohio State Route 154 at the confluence of Elk Run and the Little Beaver Creek and has the ZIP code 44415. It is home to the Federal Correctional Institution, Elkton, a male low-security federal prison. Additionally, Elkton is home to one of the …Elkton is an unincorporated community in Elkrun Township, Columbiana County, Ohio, United States. It lies along Ohio State Route 154 at the confluence of Elk Run and the Little Beaver Creek and has the ZIP code 44415. It is home to the Federal Correctional Institution, Elkton, a male low-security federal prison. Additionally, Elkton is home to one of the shortest covered bridges in the United States, the Church Hill Road Covered Bridge.