I found it on a recording of Australian Boy Scout Songs in 1966.
Here's the first verse.
One night while herding sheep, my companions lay asleep.
There was not a star to 'luminate the sky.
I was dreaming I suppose for my eyes were nearly closed
when a very strange procession passed me by.
First there came a kangaroo, with his swag of blankets blue,
a dingo ran beside him for a mate.
They were traveling might fast, but they shouted as they passed,
"We'll have to jog along, it's getting late."
I can look for the rest of the verses if you need them.