Mary Mary Quite Contrary is a spoof of actress Katherine Hepburn.
The mouse who says Merry Christmas resembles the WB character Sniffles the Mouse. Sniffles would star in his own holiday cartoon the same year, Bedtime for Sniffles (1940).
The three pigs bear a passing resemblance to Porky Pig.
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.