The Mysterious West: Did That Popsicle Taste Funny to You?

Well, I've tried. Is there possibly some folkloric tradition involving a baby and a giant eggplant or possibly a normal sized eggplant and a very very tiny baby? But that wouldn't explain the popsicle though, would it, unless they had popsicles in the Ancient Far West. Possibly these are based on the theory that among the peoples of the West anything can be improved by simply sticking a baby on it.