Starr Township is one of the eleven townships of Hocking County, Ohio, United States.Located in the southeastern corner of the county, it borders the following townships: No municipalities are located in Starr Township, although the unincorporated community of Union Furnace lies in the central part of the township.Starr Township was named for Joseph Starr, a pioneer settler who was instrumental in that township's organization.[6] 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.There is also an elected township fiscal officer,[7] who serves a four-year term beginning on April 1 of the year after the election, which is held in November of the year before the presidential election.