High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! Cheshire Township is one of the fifteen townships of Gallia County, Ohio, United States. The 2000 census found 1,259 people in the township, 1,038 of whom lived in the unincorporated portions of the township. Mason County, West Virginia lies across the Ohio River to the southeast. The farthest upstream Ohio River township in the county, it includes Gallia County's farthest east point. The small village of Cheshire was located in southeastern Cheshire Township. It was bought out and depopulated by a settlement with American Electric Power Company after longstanding problems with air pollution. It is the only Cheshire Township statewide.