High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! Madison Township is one of the seventeen townships of Franklin County, Ohio, United States. The 2000 census found 21,243 people in the township, 12,355 of whom lived in the unincorporated portions of the township. It is one of twenty Madison Townships statewide. The township was established by the Northwest Ordinance in 1787, but it was not officially organized until 1810, when its population had reached 500.