Barton is an unincorporated community in southern Colerain Township, Belmont County, Ohio, United States, along Wheeling Creek. Although it is unincorporated, it has a post office, with the ZIP code of 43905.Barton is part of the Wheeling, WV-OH Metropolitan Statistical Area.A post office called Barton has been in operation since 1880. Barton was platted in 1905, and named after Abner Barton, the original owner of the land. Baron was originally a mining community.