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There is more than one place called '''Farmington''':
Farmington (British Columbia) - a town in the province of British Columbia
Farmington (California) - a town in California
Farmington (Illinois) - a town in the state of Illinois
Farmington (Michigan) (also '''Farmington Hills''') - suburbs of Detroit, Michigan
Farmington (New Mexico) - a small city in the Northwest New Mexico region
Farmington (Pennsylvania) - a town in the state of Pennsylvania in the United States of America with '''Fort Necessity National Battlefield''' nearby