Sharon Township, Franklin County, Ohio  Sharon Township is one of the seventeen townships of Franklin County, Ohio, United States. As of the 2010 census the population was 15,969, of whom 1,849 lived in the unincorporated portions of the township. Most of Sharon Township has been annexed by the cities of Westerville, in the northeast of the township, Worthington, in the center of the township, and Columbus (the county seat of Franklin County), around the edges of the township. The village of Riverlea is located in the central part of the township, south of Worthington. Today, the township is composed of many small "islands," all of which border the city of Columbus. While some are completely surrounded by Columbus, several have other borders:  Statewide, other Sharon Townships are located in Medina, Noble, and Richland counties. 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. Two are elected in the year after the presidential election and one is elected in the year before it. There is also an elected township fiscal officer, 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. Vacancies in the fiscal officership or on the board of trustees are filled by the remaining trustees.