WAG: The Alphabet Song (TAS), since you couldn’t write other lyrics until you learn the alphabet.
BTW, I didn’t realize they were the same tune until my 4-year-old niece started singing parts of TTLS and TAS alternately with the same melody. (I was 35 at the time.)
Wrong thinking is punished, right thinking is just as swiftly rewarded. You’ll find it an effective combination.
We’ve covered this issue in threads on the SDMB a couple times that I recall. I recommend looking up the discussion using the (ahem) search engine. I’d do it for you, but that thing and I don’t seem to communicate too well…
One of the Bachs, btw, did a set of variations on the melody, quite delightful to play on the piano.