This is fascinating!! There seem to be a zillion versions of this song out there, and none of them is the one I learned as a child. I am pretty sure my dad picked it up in the Marines during the Korean War. Here's how it went:

My name is Doctor Ironbeard,
Willy willy winkum boom boom,
I make my cure in a manner weird,
Willy willy winkum boom.

Oh I can make the blind man talk,
Willy willy winkum boom boom boom,
The deaf to see and the dumb to walk,
willy willy winkum boom.

Tra-la-la-la-la, tra-la-la-la-la,
Willy willy willy winkum boom,
Tra-la-la-la-la, tra-la-la-la-la
Willy willy winkum boom.

The last time I was in Duluth,
Willy willy winkum boom boom,
A man came in with a hollow tooth,
Willy willy winkum boom.
I filled the hole with bullet lead,
Willy willy winkum boom boom boom.
It hurts no more, for he is dead.
Willy willy winkum boom.