Granger, OhioGranger is an unincorporated community in Medina County, in the U.S. state of Ohio.HistoryA post office called Granger was established in 1816, and remained in operation until 1901. Granger has the name of Gideon Granger, a member the Connecticut House of Representatives and 4th United States Postmaster General. A former variant name was Grangerburg.