I can't resist adding to this thread. I must have been exposed to this song ("Shut the Door ...") when I was a small boy (in Washington DC, USA), because all of my life I have been singing the following poorly remembered version:

Shut the door, they're going through the window
Shut the door, they're going through the door
Shut the door, they're going through the window
I wish I only had one door!

The folk process in action!

Don