Graham, KentuckyGraham is an unincorporated community in Muhlenberg County, Kentucky, United States.HistoryA post office was established in the community in 1904. Graham was named for William Graham Duncan, the Scottish-American owner of the W. G. Duncan Coal Company for which the coal town was built.GeographyGraham is located about west-northwest of Greenville. It is located at the junction of U.S. [Route 62 in Kentucky|U.S. 62] and Kentucky Route 175. The town is also accessible from the Exit 48 interchange of the nearby Wendell H. Ford Western [Kentucky Parkway], which passes through the general area.EducationStudents from Graham attend institutions of the Muhlenberg County School system, including Muhlenberg County High School.