Thanks to Kendra's comments to a previous post, I have added two songs to my list: Sara the Whale and My Aunt Greet. To be honest, when she brought these songs to mind I realized I was never a big fan of either, so maybe my subconscious was (not) telling me something. But Sara is a fun, silly song. A little digging finds a few variations, including it as part of a Horse Named Bill, which appears in Carl Sandburg's landmark book, American Songs.
And it turns out Burl Ives ("Frosty the Snowman") does a version of it called Whale Song. Two other Ajawah songs appear on this particular album: Mr. Rabbit (see an earlier post) and The Goat (aka Bill Grogan's Goat).
Here is the link to it on iTunes: