Leeton is a city in southeast Johnson County, Missouri, United States.Leeton was platted in 1895, and named after J. J. Lee, the original owner of the town site.[6] According to the United States Census Bureau, the city has a total area of 0.51 square miles (1.32 km2), all land.30.2% of all households were made up of individuals, and 9.9% had someone living alone who was 65 years of age or older.23.8% of all households were made up of individuals, and 13.4% had someone living alone who was 65 years of age or older.