Piggy on the Railway, picking up stones
Along came a train and broke piggy's bines
Oh said piggy, Thats not fair
Oh said the engine driver, I dont care

At least 2 of the Willie rhymes ("fell in the fire" and "mercury went down" were in G.K.chesterton's Cautionary Tales.

He jumped without a parachute...
They're looking for the WRAF who tied a love knot in his chute
And he aint gonna jump no more.
They poured him into his coffin like a tin of tomato soup....