Update: Yeah! Scott to the rescue! Scott came in at about 11:00 and said he had gotten a message from the hot water heater guys. So he decided to try their suggestion and sand off the edges of the gas valve that leads to the igniter. Problem is, we have no sandpaper, but we found an old fingernail file. He worked for a bit, and then gave it a test drive. Wah lah! a viable flame that responds to the thermostat! I was able to make some lunch that didn't include grilling and took a hot shower. Thanks hubby!
If you haven't, you might want to. Ours has been on the fritz for about a week now. Another joy of living in the country: no one wants to come and fix things when they break down. It's not so bad, I guess. The dishwasher has a cycle that heats the water on its own, and I got some cold-water Tide for the wash machine. The kids have been soaking in the kiddie pool in the back yard, so they're relatively clean. But if you start to smell a particular funk when you're around the Glasscocks, that would be why. I guess I'd rather have no hot water, than no water at all.