Your poem can be sung to “Grow Little Glow Worm” without missing a syllable.
“Eat, Mrs. Goldfarb, Eat” was a parody by Allan Sherman to the tune of “Glow Worm” on his 1964 album “For Swinging Livers Only”.
“Beautiful Teamsters” & his version of the Twelve Days of Christmas on the same album are also hilarious.