High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! Franklin Township is one of the fifteen townships of Harrison County, Ohio, United States. The 2000 census found 641 people in the township, 559 of whom lived in the unincorporated portions of the township. It is one of twenty-one Franklin Townships statewide. The township is governed by a three-member board of trustees, who are elected in November of odd-numbered years to a four-year term beginning on the following January 1.