"The Unholy Three," starring Lon Chaney in his last role, and his only talking film, is actually a remake of an earlier Chaney film by director Tod Browning. The "unholy three" of the title are circus performers who embark on a life of crime. One of the criminals is a midget (played by Harry Earles) who disguises himself as a baby. That whole concept just had to be a direct influence on this Bugs Bunny Cartoon called "Baby Buggy Bunny."
Unfortunately, I can't find any clips of the "baby" scenes from "The Unholy Three," but you can watch the whole movie at 10 P.M. on TCM.