Abernathy Airport   During World War II the government bought a section of land four miles east of Abernathy. They constructed two runways. On March 25, 1943, the South Plains Army Flying School started using the air field as an auxiliary landing field for training pilots of tow planes (gliders). Gliders were the only type plane used in training here during World War II.   In October, 1948, the Air Force deeded the section to the City of Abernathy. The main provision was that it be maintained as an airport.   When the Korean War started, Reese AFB needed more practice landing strips, so the runways were reconstructed to accommodate heavier planes and extended to 5000 feet. The propeller driven planes used the airport mainly for touch-and-go-landings.   J.W. Davis and Virgil Rhodes developed an interest in flying but had no place to keep their planes. In 1959 they worked out an agreement with the City and built a hanger with spaces for ten single engine planes. The next year they built a large, metal hanger/shop building.   Reese AFB again used the airport for awhile in 1965. Starting in June of that year, twenty single engine, propeller driven planes were in a training program here.   Small, private planes still use the airport today. Some of the local residents have private planes, and students from other towns practice landing here. The airport serves many people.