Jim's post is the clearest approximation to the version I've heard in Oz, although at least one of the openings
Leprosy
Is creeping all over me.
is replaced with
"Leprosy
My God, I've got leprosy.

And, until at least the '30s, it wasn't the only trypanosome causing problems. The popularity of the parody may be attributable, in part, to some black humour concerning one's status regarding the other widely distributed trypanosome.

Cheers, Rowan