Sponsored Topics. Owensville is a city in Gasconade County, Missouri, United States. The population was 2,500 at the 2000 census. The city's current mayor is Dixon Somerville. Owensville is located at 38°20′48″N 95°30′3″W / 38.34667°N 95.50083°W / 38.34667; -95.50083 (38.346591, -91.499878).