After getting the reading from the second multimeter I'm wondering if this hasn't been a false alarm. I'll find out for sure tomorrow.
You still have a burned out microwave and coffee maker, and those at least aren't false alarms. By any chance have you pulled the outlet that powered the microwave and coffee maker to see if any of the connections were loose? I had a kitchen outlet that was getting appliance plugs very hot, and it turned out that the wires had loosened from the outlet over the years. Since it was a 75 year old house I took that opportunity to replace every outlet and switch in the house, and the problem was solved.
No I haven't pulled the outlets, but there are two. One is a GFCI but both are on the same circuit breaker. Still on the road, went to Oshkosh for the airshow. I rewired the entire house about 24 years ago because it too was an old farmhouse with sketchy wiring.
Every other breaker top to bottom is typically on the opposing phase.
So top breaker is PH1, second one down PH2.
Depending in where in the panel the breaker is located and feeding which outlets the voltages will vary.
Say you have a living room outlet breaker on top of a bedroom outlet breaker, they will be on opposite phases.
The thing is, I measured the input at the meter. One side is higher than the other coming into the house. I also checked other outlets with the same result. Some outlets are high, some not. When I get home I'll do some more investigating and will probably call the electricity provider.