Horton is a city in Brown County, Kansas, United States. As of the 2020 census, the population of the city was 1,523. Horton was founded in …Horton is a city in Brown County, Kansas, United States. As of the 2020 census, the population of the city was 1,523. Horton was founded in 1886. It was named for Albert H. Horton, chief justice of the Kansas Supreme Court.