From Longman Dictionary of Contemporary Englishcounty fairˌcounty ˈfair noun [countable] American English DLan event that happens each year in a particular county, with games and competitions for the best farm animals, cooking etc
Examples from the Corpus
county fair• Clark had set up a booth to display his wares at a county fair to which Roosevelt was paying a visit.• Rosa's braided rug won first prize at the county fair. 