Mary Mary Quite Contrary is a spoof of actress Katherine Hepburn.
Hiawatha shoots a bald eagle, the U.S. national bird.
The three pigs give the wolf a bottle of 'Histerine' - a play on Listerine mouthwash.The wolf's lament, that his best friends won't tell him about his halitosis, was a popular advertising element at the time for all kinds of hygiene products.
Two of Avery's signature sight gags, a dog with a tree, and a character accidentally showing their underwear (Humpty Dumpty here) make an early appearance.
The old woman in the shoe is given a husband here, probably to appease the censors.