It is a part of the Mansfield Metropolitan Statistical Area.Located in the northeastern part of the county, it borders the following townships: No municipalities are located in Weller Township, although the unincorporated community of Olivesburg lies in the northeastern part of the township.[4] After the formation of Ashland County in 1846, a few years later Weller Township was formed.The eastern half of Weller County was formed from the western two columns of sections of Milton Township which remained in Richland County.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.