Conesville is a village in Coshocton County, Ohio, United States, along the Muskingum River. The population was 328 at the 2020 census. Conesville is most likely named after Beebe Stewart Cone, who with three other men in 1847, erected a sizable distillery near the local west side of the Muskingum River. A grouping of houses for workers was built near th…Conesville is a village in Coshocton County, Ohio, United States, along the Muskingum River. The population was 328 at the 2020 census. Conesville is most likely named after Beebe Stewart Cone, who with three other men in 1847, erected a sizable distillery near the local west side of the Muskingum River. A grouping of houses for workers was built near the distillery accompanied by several small businesses. The distillery burned down in 1857. Afterward, Cone gave up that business venture and moved on to Muscatine County, Iowa. The distillery was rebuilt by a man named James Beebe but it also burned down a few years later. Prior to 1840, a man named Delaney had purchase land in the same area and planned for it to be named Delaneysville, but it failed as any incorporated entity.