Sponsored Topics. Woodsfield is a village in Monroe County, Ohio, United States. The population was 2,598 at the 2000 census. It is the county seat of Monroe County and houses the Monroe County Courthouse. Woodsfield is located at 39°45′49″N 81°06′53″W / 39.763589°N 81.114596°W / 39.763589; -81.114596. According to the United States Census Bureau, the village has a total area of 2.0 square miles (5.3 km2), all of it land.