Well, I got the internet problem fixed. I was able to boot into Safe mode, log her out of her Apple ID and then reinstall the MacOS. Convuluted but it worked. Now, TimeMachine will make a backup copy to my external SSD but it doesn't register with TimeMachine as a completed backup. After an hour on the phone with a really nice fellow from Apple, he is as stumped as me. I have an appointment with the Apple Store for Friday. If this doesn't get resolved before then I'm handing it to them and letting them fix it or replace it.
When it works, it's great. Screen is a thing of beauty. Keyboard feel is excellent. The trackpad is exceptional. The speed seems be blazingly fast although I haven't pushed it yet and she probably never will. At a minimum the speed is every bit as fast as my MacBook Pro 13" with the M1 chip. I'll have to try to do some video rendering and see how it works. Overall, the computer seems like it will be great once the initial bugs are worked out or if it is some internal hardware issue when the machine gets replaced.
Sorry for being so off-base, I just really needed to vent a little. Wife is at work so nobody here to vent to. thanks guys and gals.