The roles played by Charles Dale and Joe Smith were orginally intended for Stan Laurel and Oliver Hardy, who had to drop out of the film due to an illness contracted by Laurel while filming Utopia (1951).
The Theater Club boarding house shown is likely based on the famous Rehearsal Club at 47 West 53rd Street in midtown Manhattan. It was a ladies boarding house for those involved in the entertainment professions. First established in 1913, it finally closed in 1979.
Film debut of Mara Corday.
The Native American number was likely based on the Osage tribe, who settled in northern Oklahoma and did indeed discover oil on their land. As for the rest, that's another discussion for a different forum.
Bob Crosby, the younger brother of Bing, was an American jazz singer and band leader. His best known group were the Bob-Cats, a New Orleans jazz Dixieland-style octet. Bob had an afternoon variety TV show, "The Bob Crosby Show," on CBS from 1953 to 1957. The familial resemblance, both in looks and voice, is quite apparent in the "Let's Make Comparisons" number.