ROME. (#). Twenty - three army personnel, including three nurses, were killed Friday when a transport plane carrying 26 American army personnel crashed into a mountainside 60 miles north of Rome. The only uninjured survivor was Lt. G. M. Baco, of New York City, who pushed the pilot to safety as flames enveloped the gasoline-soaked wreckage. An enlisted man also survived. The plane, a twin-engined C- 47 of the U. S. 12th air force, was en route from Florence to Rome. It ran into a dense fog in a river valley a few minutes aft er taking off. Baco said the plane was fol lowing a river because the weather was so bad when it sud denly went into a cloud. The plane brushed treetops and then crashed and skidded 300 yards over the crest of a mountain. Baco added.