Call the Board of Education with the exact address that you are interested in and they will give you the up-to-date school district information.
Fairfield Public Schools
501 Kings Hwy East, Fairfield, CT 06825
Fairfield redistricts quite often, so it's always helpful to call them to find out about any new changes.
Hope that helps!
Prudential CT Realty
272 Post Road East
Westport, CT 06880
Good luck with your search,