Both names were after Hinckley Township where the city is located within.
township | Abington Township, Montgomery County, Pennsylvania | Union Township, Union County, New Jersey | Clinton Township | Union Township | Aboite Township, Allen County, Indiana | West Chester Township, Butler County, Ohio | Wayne Township, Allen County, Indiana | Springfield Township | Insein Township | Warren Township | Township | Springfield Township, Union County, New Jersey | Gordon B. Hinckley | Franklin Township | Clinton Township, St. Louis County, Minnesota | Stillwater Township, Washington County, Minnesota | Stillwater Township | Spring Garden Township, York County, Pennsylvania | Spring Garden Township | Morse Township | Jackson Township | Hamilton Township | Green Township, Hamilton County, Ohio | Fayal Township, St. Louis County, Minnesota | Fayal Township | township (United States) | Olive Township | Morse Township, St. Louis County, Minnesota | McDavitt Township, St. Louis County, Minnesota |