There's more than one place called '''Fairfield''':
Fairfield - a city-sized suburb in western Sydney
Fairfield (Canada) - in Victoria, British Columbia
Fairfield (California) - in Solano County in the Sacramento Valley of California
Fairfield (Connecticut) - a suburban township in Fairfield County in southwest Connecticut.
Fairfield (Iowa) - county seat of Jefferson County (Iowa), Iowa
Fairfield (Maine) - a town in Maine
Fairfield (North Dakota) - in Billings County (North Dakota) in southwest North Dakota
Fairfield (Ohio) - a city in Southwest Ohio
Fairfield Bay - a resort town in Arkansas
Fairfield County (Connecticut) - in south-west Connecticut
Fairfield County (Ohio)
Fairfield County (South Carolina)
Fort Fairfield - a town in Aroostook County, Maine