I agree with the judicious majority (for once!) that is skeptical of claims the Kipling wrote the song. One need only compare it, for rhythmic agility & versimilitude, with Kipling's approach to naughtiness mentioned by LadyJean. One might also mention "The Shut-Eye Sentry", which contains the sly line "There was me he kissed in the sentry-box, which I have not told in my tale" (God, was I drunk last night!).

OTOH, the popular story that Ogden Nash wrote "Four Prominent Bastards" is perfectly true. You have to look at the evidence.