Larry,
My suggestion to you about your well pump is to call an electrician. I could explain it to you but is nothing like actually seeing your wiring. You're generator has four wires, 2-Lines, 1-nuetral, and probably a ground. Between the 2 lines (L1 and L2) you will get 240V (or 220V you can call it, but I bet if you measure it you'll be much closer to 240V.) Between L1 and Nuetral or L2 and Nuetral you'll get 120V (or 110V). You need to get the generator 240V power to the line side of your pressure switch. The best way to do this is with a generator transfer switch and having your generator feed everything you want through your main panel. This is a very important peice and should all be done by a liscensed electrician or a competant home-owner.
And yes, I would be wary of running sensitive electronics off of smallish push around style generators. George is correct in that this has to do with how clean the power is. I'm not a teacher and can't explain what clean means but it has to do with the voltage sign wave and its' frequency. Little steps and spikes in voltage along the sign wave can have a significant effect on some electronics.
Glad to hear all is well George and power is now restored. My shop is in the basement and we lost power for 5 hours or so. I wasn't real worried as I thought I could get by with all my hand tools. Funny how one doesn't think about the most important factor, LIGHT! I had zero flashlights or candles down there and couldn't see my hand in front of me. So much for being neander, my light is the most used tool in the shop that I apparently take for granted.