Unionville is a city in Putnam County, Missouri, United States. The population was 1,735 at the 2020 census. It is the county seat of Put…Unionville is a city in Putnam County, Missouri, United States. The population was 1,735 at the 2020 census. It is the county seat of Putnam County. Unionville was first named Harmony when established in 1853 as the county seat for Putnam County. Prior to that the county seat had moved several times, often with heated debate, thus the centralized location hoping to bring "harmony"