Claibourne, OhioClaibourne is an unincorporated community in Claibourne Township, Union County, Ohio, United States. It is located at the intersection of Claibourne Road and Bethlehem-Claibourn Road.HistoryClaibourne was platted in 1881 when the railroad was extended to that point. A post office was established at Claibourne in 1879, and remained in operation until 1947.