High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! Short Creek Township is one of the fifteen townships of Harrison County, Ohio, United States. The 2000 census found 1,012 people in the township, 614 of whom lived in the unincorporated portions of the township. It is the only Short Creek Township 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.