Falmouth is an unincorporated community in Fayette and Rush counties in the U.S. state of Indiana. Located at the northeastern corner of Union Township and the southeastern corner of Washington Township in Rush County and along the northwestern edge of Fairview Township in Fayette County, it lies at the intersection of CR800E with CR600N /CR400N. …Falmouth is an unincorporated community in Fayette and Rush counties in the U.S. state of Indiana. Located at the northeastern corner of Union Township and the southeastern corner of Washington Township in Rush County and along the northwestern edge of Fairview Township in Fayette County, it lies at the intersection of CR800E with CR600N /CR400N. Falmouth sits northwest of Connersville and northeast of Rushville, the county seats of Fayette and Rush counties respectively. Although Falmouth is unincorporated, it has a post office, with the ZIP code of 46127.
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