Mount Chapman is a mountain in the Great Smoky Mountains, located in the Southeastern United States. It has an elevation of 6,427 feet above sea level. While the mountain is located deep within the Smokies, the Appalachian Trail crosses its eastern slope, coming to within 200 feet of the summit. Mount Chapman is among the 10 highest mountains in t…Mount Chapman is a mountain in the Great Smoky Mountains, located in the Southeastern United States. It has an elevation of 6,427 feet above sea level. While the mountain is located deep within the Smokies, the Appalachian Trail crosses its eastern slope, coming to within 200 feet of the summit. Mount Chapman is among the 10 highest mountains in the Appalachian range, if subpeaks are not included.