What was the name of female singer at time Bob Hope radio shows?
You're likely thinking of
Frances Langford. She was a popular singer in the 1930s and 40s, known for her beautiful voice and charming personality. She was a regular guest on Bob Hope's radio show and even toured with him during World War II to entertain troops.
While there were other female singers on Bob Hope's show, Frances Langford was the most frequent and well-known.