Birds Run, OhioBirds Run is an unincorporated community in Guernsey [County, Ohio|Guernsey County], in the U.S. state of Ohio.HistoryBirds Run was originally called Bridgeville, and under the latter name was laid out in 1848. A post office called Birds Run was established in 1851, and remained in operation until 1953. Besides the post office, Birds Run had a country store and two churches.