Bostwick, OhioBostwick is an unincorporated community in Geauga [County, Ohio|Geauga County], in the U.S. state of Ohio.HistoryA post office called Bostwick was established in 1887, and remained in operation until 1905. A variant name was Bostwick Corners. The community was named for Shelburn Bostwick, a pioneer settler.