Ahhhh. The beer is cold again.

My refrigerator would not work on gas, only electric. I was all set to order a new Thermocouple, called a service supply house, and the tech talked me out of it! He said the book was wrong on this diagnosis, and to order the control board instead. I did, and sure enough - problem fixed - which means that the thermocouple in there was good, it's still working.
Here's the link to the site/company.
http://www.gasrefrigeration.net/service_manuals.htm
This fellow's name is Allan Crane, and I think he's the owner/tech/salesperson.

If you need a service manual for your Norcold or Dometic refrigerator, they're on this website - download for free! (Adobe .pdf)