Madison is a city in Greenwood County, Kansas, United States, along the Verdigris River. As of the 2020 census, the population of the city wa…Madison is a city in Greenwood County, Kansas, United States, along the Verdigris River. As of the 2020 census, the population of the city was 689. Madison was founded in 1872 northwest of the present town. In 1879, the town was relocated to its present site when the Howard Branch of the Atchison, Topeka & Santa Fe Railroad was built from Emporia to Moline. The first building was the home of W. H. Green, a Civil War veteran. Green came to Kansas in 1867, took up a homestead, and operated a trading post on the original town site. Madison took its name from Madison Township.
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