I'm going to check the USGS domestic names.
Ball Play and Reaves are both populated places and we're not creating categories for those. They are not actually cities, towns, or villages, and not even considered unincorporated places. "a populated place may have a corresponding "civil" record, the legal boundaries of which may or may not coincide with the perceived populated place. Distinct from Census and Civil classes."
We categorize civil classes, which include borough, county, incorporated place, municipio, parish, town, township
So, just use the county as the category. If you look at the census records, they are election precincts, and we definitely don't categorize those.