Leona is a city in Doniphan County, Kansas, United States. As of the 2020 census, the population of the city was 41. Leona was laid out in 1873…Leona is a city in Doniphan County, Kansas, United States. As of the 2020 census, the population of the city was 41. Leona was laid out in 1873. The city was named for Leona Shock, the first baby born there.