Update!
The clock was not working on this range, well, it was but barely. The second hand turned, but the hour and minute hands did not turn. The minute timer also worked. We took it out and fiddled around with it, and surmised that there was a problem somewhere within the gearing. On Phil's recommendation, and remembering that I had been to their website at some point in the past - I looked into GEneral TIME RepairS.
I started out by emailing them, inquiring about a repair, and I received a call back the next day. They needed info from the timer itself to verify whether or not the timer was a GE mechanism. I got the info they needed, called back and they verified that they would be able to fix it. If it's a timer that was built by GE; they are able to rebuild it! Generally, however, if they have a duplicate in stock, they simply swap your broken one with a rebuilt one. This wasn't the case for us, so we had to send it in.
They're located about 4 hours away from Minneapolis in Carroll, Iowa (North-West of Des Moines). Robert and I were planning a quick weekend at Greg's, so I was able to coordinate us dropping the timer off on Friday afternoon, on our way to Omaha. They repaired it, and had it ready to go for us on Sunday on our way back home. It was really convenient, and we were able to see the facility where all of this goes down.
Not a huge place, but it was full of timers, testing equipment, presses to presumably rivet the timers back together, and bins full of gears and all the moving parts one would ever need in order to fix a GE stove timer. It was really cool to see in person. We were also shown the larger warehouse, also full of these same parts. The owner worked for GE in the Applicance Control/Timer division for 27 years, then when GE dropped that part of the business due to everything going electronic, he bought that part of the business from GE, and all of the parts inventory/machinery that accompanied the division. He said that they stay pretty busy, and I would guess it based on the amount of timers that were scattered around the place. Both he and the woman I spoke with on the phone were incredibly nice to deal with.
For a modest $95 - we now have a completely rebuilt Clock/Timer mechanism for our range. We woke up this morning to Sunbeam CoffeeMaster coffee that was turned on at 6:30am by our automatically timed outlet on the range.
Here are some pictures! The link is to their website.
http://www.generaltimerepairs.com/index.php
