Salem, Adams County, Indiana  Salem is an unincorporated community in Blue Creek Township, Adams County, in the U.S. state of Indiana. Salem was platted in 1866. Salem is located at , approximately 4 miles west-southwest of Willshire, Ohio, on Salem Rd. approximately 3 miles west of the Indiana-Ohio state line, at latitude 40.717 and longitude -84.853. The average elevation is 823 feet.