Final answer:
Virginia Katherine McMath's stage name is Ginger Rogers, and she is best known for her work with Fred Astaire in classic musical films.
Step-by-step explanation:
The stage name of Virginia Katherine McMath, who was born on July 16, 1911, and is famous for her work for RKO Pictures, is Ginger Rogers. Rogers was an American actress, dancer, and singer, and she is best known for her partnership with Fred Astaire in a series of classic musical films during the 1930s.
Together, they revolutionized the genre and became one of the most iconic on-screen dance duos of all time.