Leemon, MissouriLeemon is an unincorporated community in Cape [Girardeau County, Missouri|Cape Girardeau County], in the U.S. state of Missouri.The community is on Missouri [Route 177] approximately three miles east of Fruitland.HistoryA post office called Leemon was established in 1875, and remained in operation until 1905. The community was named after Leemon Haile, the proprietor of a local sawmill.