In the sequence with the Jewish baby, the message received by the old man is in Yiddish, and says "Saturday, May 19th. Send me five children. Mrs. Ginzburg." The dialogue between the baby and the old man is also in Yiddish; the baby asks the old man, "How are you doing? [Vus machst du]," to which the old man replies, "I'm getting by [Ich mach laybn]." Before sending the baby off, the old man stamps the baby's diaper "Kosher".
The baby in the straw hat singing with a French accent is a caricature of Maurice Chevalier.
Included in Warner Home Video's 2006 6-disc DVD release "The Busby Berkeley Collection".
"Shuffle off to Buffalo" is included in the Special Features in the Warner Archive Blu-ray release of "42nd Street" (1933).
The baby yelling with the wide-open mouth, around 2:55, is a caricature of Joe E. Brown.