Yah, it's Peter Krug all right, and I thought it was called "I Just Want a Woman With a Chainsaw." The chorus goes:
"I just want a woman with a chainsaw
To spend the winter with me
I just want a woman with a chainsaw
All night long I would tend her fire, yessirree!
I can't remember the verses, but someone this weekend was saying MOtherlode recorded it.
I dunno if Peter's on the internet. He isn't listed in the SFFMC directory.