Deckman, the tune I heard this to is "Deutschland ,Uber alles"!!!and it fits.. words are slightly different to fit the tune, ( I include the ones that you haven also..
Life presents a dismal picture,
Dark and mournful as a tomb,
Father has an anal stricture,
Mother has a fallen womb,

. In the corner sits Jemima
never laughs and rarely smiles
What a dismal occupation
cracking ice for granpas piles

Our wee babys awfull sickly
it is always having fits
Every time it coughs it vomits
every time it farts it shits