I posted on a previous thread a fix for the older Norcold fridges for this exact problem. What model fridge is it? The LED light is the cause of the issue normally as long as you have 12V going to the fridge from the batteries. Essentially the LED is faulty and cause the curcuit to break killing the 12V side of things. I fixed mine back in the fall. Simply desolder the LED and install a new one in its place. Any 12v LED will work. Again though, this is on the older versions.
Found the thread.
http://www.maxumownersclub.com/forum...ower-6675.html
Here was my response
I have a little info for you. I have a 94' 2400scr. My fridge would only run on shorepower until I finally fix it. The green LED that comes on inside the fridge on the thermostat was faulty. It still lit up and looked to be working, but was not allowing voltage to pas through. I simply removed it and soldered a new one in place and the 12v side started working. Somehow, when they designed this fridge, the thermostat main board power runs through the LED...So when its faulty, 12V side no longer works.
Posting this incase someone else is looking for info!