The version I know is:
Hello, my name is Joe
And I work in a button factory
I have a wife, and a dog, and a family
One day, my boss came up to me
He said "Hi Joe! Are you busy?" - I said no
He said "Push the button with your right hand!Then it continues with left hand, left foot, right foot, head, any other body parts you can think of that would work, and then the verse goes ".....'Are you busy?' I said YES!"