Doe Run, MissouriDoe Run is an unincorporated community and census-designated place in St. Francois County, Missouri, United States. It is located on Routes 221 and B, approximately three miles southwest of Farmington.HistoryDoe Run had its start in 1880 as a lead-mining town. A post office called Doe Run has been in operation since 1887. The community takes its name from nearby Doe Run Creek.