I've sung this song a lot over the years, Bob, and I must say that I prefer the version that I sing- close to the one quoted earlier, except that the chorus runs:

Oh me name it is McCarty and I'm a rorty party
A larrikin so hearty that's a fact oh strike me blue
Some people say I'm crazy, I don't work because I'm lazy
But I tag along with the boozing throng, the push from Wooloomooloo.