Well, the way real people (including my father) sang it before the PC mania hit was, "The monkey he got drunk, And sat on the elephant's trunk, The Elephant sneezed and Fell on his knees, And that was the end of the monk, the monk, the monk, and that was the end of the monk."This is how the first verse is given in Quincy's version, actually.
The skunk is to make it more PC, I guess.