Thank you all for responding. Although I made it, I do agree that avoiding Heathrow would have been a bit simpler. What did I learn?
1. Once you let go of your suitcase, you must let go of the notion of getting it at the conclusion of your trip. At Heathrow, it took far too long to get information about my bag. It should have been there, as it was my first international touchdown. After being told a bunch of made up stuff, I finally had to proceed to getting to the other 'London' airport.
2. Gatwick is far, far away. I ended up with National Express, which was fine. I presented absolutely everyone I could with the situation: I just booked, too late to get a confirmation number or a boarding pass online. My bag didn't arrive. How can I get to Gatwick? (Is that how you spell it? Sorry if not.) I got so many wrong answers, starting with the customs officer, who told me that 7 hours wasn't enough to change airports (that was when I noticed that my watch didn't work. My cell phone, broken somehow, was still at home.)
National Express is a fine company. After three circumnavigations of the bus area (up, down, over, under - I'm still not sure how I got there from the airport, and what 'there' is.), I went back to the man who sold me the ticket (About $50 usd) laughed when I said that I had gone out the door to the left of him, but my ticket said bay 3, and there wasn't one. The secret rule is that you go out the door to the left of the customer service man, who has nothing to do with the sales lady to the right and a bit behind you, if you don't trust machines to dispense your tickets at the moment). You find the bus number, 200 on the day in question, and wherever they park, you hop on. Oh, for goodness sake, wear your seatbelt, and devote whatever attention you must to getting it on. The seats are highly waxed.
3. If your suitcase didn't make it to your final destination, make a report, THEN DON'T LEAVE the airport until you have told the airline, your credit card company, if they offer insurance, or the insurance that you bought. Oops, I'm out of luck.
I will say that I would not have had the fake courage that I did have to persevere and make this unplanned trip without you all. It was like I made a pilgrimage in Ken from Vernon's honor.
I'm not finished yet. I thought that all my miles and $300 would make both crossings of the Atlantic business (did I forget to share that some lady had me watching her kids and I later found out that the paid nanny was in coach?), so I'm going back, days before the planned trip to Italy, in coach.
This may be my undoing, but whatever. That's my new motto.