Ohio State Route 513 is a north-south highway in Eastern Guernsey County. OH St Rt 513 passes through the following towns in Guernsey County. Antrim Quaker City OH St Rt 513 is not multi-plexed in Guernsey County. OH St Rt 513 intersects the following highways in Guernsey County. U.S. Rt. 22, at Antrim. Interstate 70, near Fairview. U.S. Rt. 40, at Fairview. Ohio State Route 265, at Quaker City.