Fannin is an unincorporated community in eastern Goliad County, Texas, United States. Its elevation is 141 feet (43 m). It is part of the Victoria, Texas Metropolitan Statistical Area.HistoryFannin is named for James Fannin, who commanded the group of Texans killed in the Goliad Massacre during the Texas Revolution.RecreationFannin is home to the Coleto Creek Reservoir. It is a venue for camping, fishing and other outdoor recreation.