Kincaid is a city in Anderson County, Kansas, United States. As of the 2020 census, the population of the city was 103. Kincaid was foundeā¦Kincaid is a city in Anderson County, Kansas, United States. As of the 2020 census, the population of the city was 103. Kincaid was founded in 1885. It was named for Robert Kincaid, of Mound City. According to the United States Census Bureau, the city has a total area of 0.50 square miles, all of it land.