Varner, KansasVarner is an unincorporated community in Kingman County, Kansas, United States.HistoryA post office was opened in Varner in 1895, and remained in operation until it was discontinued in 1972.EducationThe community is served by Kingman–Norwich USD 331 public school district.TransportationThe Atchison, Topeka and Santa Fe Railway formerly provided passenger rail service to Varner on a line between Hutchinson and Ponca City. Dedicated passenger service was provided until at least 1954, while mixed trains continued until at least 1961.