snomass, As it is so often mentioned here, it would behoove you to get a DMM(digital multi-meter) and learn how to use it. They are very simple to operate and they do so many things to help you save time. I have two or three brand new meters in the garage that I got free from Harbor Freight.
There are a multitude of appliance manuals available on line with trouble shooting sections. Most troubleshooting manuals have schematics and exploded views so identification of the various parts is simple.
That said, I have nothing against asking for help here as some solutions are so simple and common that many of us carry a spare part or two for those failures. Occasionally you get an answer which seems very simple but doesn't make any sense. By adjusting the thermocouple I believe the intent was to say "is the thermocouple located in the correct location in the pilot flame". A good idea but a little fuzzy if you haven't heard about that in the past, besides there aren't many adjustable thermocouples.
So post your question, download the manual and use the new meter that hopefully you picked up for free at Harbor Freight to trouble shoot the problem following the manual. After all that, if you don't have the solution, I'll be surprised.