Sounds like your timing chain went- the starter is spinning freely because there is no compression being built due to valve timing being out and probably at this point- bent valves if timing jumped enough to cause no start. The starter is obviously engaging correctly if car is trying to walk. Pull cam cover to confirm. Good luck.
I popped the cover off and the timing chain looks OK - it is still firmly attached anyway. I cannot see the timing marks where it is sitting - is there a way to turn the engine manually in order to see if they are lined up correctly? Without opening it up further? I have the battery out to charge and there is no gas tank right now anyway but I wonder if turning it over using the key might end up sucking air or worse through the open lines in the back.
I would hope it would not skip so far as to not run at all and have the timing chain still seem securely attached. Especially since it worked fine when my daughter parked it but didn't a few hours later.
The other bad news - I discovered that one of the rockers is busted. The one over the valve in the front right (looking forward from the driver's seat) broke off and the end was just sitting there next to the valve. I have a picture of it - on the end of a magnetic stick. Don't suppose I can buy just one rocker and replace it?

I guess I would have to take the cams off - carefully!! - to get to any of the rockers. And once those are off might as well do all of the rockers I suppose. I need to do some googling - I am about ready to just give the car away instead of putting hundreds more $$$ into it. Or more sweat.
My question is could this be a symptom or the cause of my no-start issue? I assume one missing valve might cause it to run rough but not to just stop. Or if somehow the timing is off did the piston come up and smash the rocker. None of the others are broken - shouldn't more than one should be broken if that was the case?
Doing compression checks tomorrow on all four cyls. That should provide some insight. Should not have skipped that step in the beginning...I suspect.