Vienna is a city in and the county seat of Maries County, Missouri, United States. Its population was 581 at the 2020 census. Vienna became th…Vienna is a city in and the county seat of Maries County, Missouri, United States. Its population was 581 at the 2020 census. Vienna became the county seat in 1855. It was likely named after Vienna, Austria, although, according to folklore, the town was named after Vie Anna, the deceased daughter of a county judge. A post office called Vienna has been in operation since 1856.