It's the home of the University of Florida : Gainesville, not Gainsville. Alabama, Georgia, Missouri, Texas, and Virginia have one Gainesville each. New York is blessed with two - one is a town and one is a village. In any case, leave out the "e" and get a Section C Moderate Probability typo.
(Gainesville, Florida, ca. 1900, courtesy of the Chester Historical Society, Chester, New York.)