East Hampton is a town in Middlesex County, Connecticut, United States. The population was 13,352 at the 2000 census. The town center village is listed as a census-designated place (CDP). East Hampton includes the villages of Cobalt, Middle Haddam, and Lake Pocotopaug. The southern trailhead of the Shenipsit Trail is in Cobalt, and the Airline State Park has its southern trailhead in East Hampton, at Smith Street.