Buckeye Valley (Arizona)Buckeye Valley is a valley on the north side of the great bend in the Gila River, in Maricopa County, Arizona.Its mouth is at an elevation of. Its head is at an elevation of 922 feet at.HistoryFor over 2,000 years, the Hohokam culture flourished in Buckeye Valley. Massive irrigation techniques were developed that allowed crops to develop, architecture, as well as Mesoamerican ballcourts.