Methodist Women's Hospital administrators gambled that Omaha's westward growth and a sparkling new hospital would enable them to retain a huge chunk of the crucial baby-delivery business, a specialty they had dominated for years at Methodist Hospital in central Omaha. The move came at a time of growing competition for the profitable business. Two other area hospitals, Lakeside and the Bellevue Medical Center, also have opened and begun delivering babies within the past eight years. So confident were Methodist leaders that they moved all labor and delivery from Methodist Hospital to their new hospital out west. The results so far appear to be mixed.