Follow-up.
So I turned the oil furnace on 2 hours ago and it's running fine.
The only explanation I can think of I didn't mention before, because i thought it so very very unlikely and would just confuse things.
Last night, I replaced the humidifier with one I had refurbished, but one rubber part I used was old and used and though it looked nice and it was flexible, maybe it wasn't flexible enough anymore.
When I put it in place and turned the water back on, it filled for a while and then overflowed, and ran down the outside of the plenum. But I find it hard to believe any water got anywhere important.
I watched carefully to see where the water went, and a lot landed on the flue-funnel or flue-catcher (I forget its name, connects the large furnace output opening to the smaller flue) and then rolled off that to the floor of the section below, with a little landing on the thermostat wire and the AC wire, and maybe a drop landingon the control box, but none of it seemed to make it to the any opening in the control box cover. I don't think any water landed on the low-voltage connection screws.
But all I can imagine is that it dried out during the day, because I didn't do anything but press reset and wait.
Trivia. Thank you folks for advice on the ball valve for 1/4" tubing. I can't reach the original valve for the humidifier, so I turned off the water to the whole house and disconnected the humidifer tube. NO water dripped out. Yet when I reconnected everything and turned the water on, turning the water off again wouldn't stop the dripping! So I connected the valve to the end of the tubing and that stopped the dripping, even when the water was turned back on.