Update.  Ed was right.  Despite the indications on the wiring diagram, tripping the bay GFCI outlet would not cause the lavy GFCI (the problem) outlet to trip.  Tripping the CB however shuts off both the outlets. The diagram I have shows a line from the CB to the bay GFCI with three lines out: one unlabeled to an outlet; one labeled "load" to another outlet; and a third labeled "line" to the lavy GFCI.  The lavy GFCI has two lines coming out both labeled "load."  One to the vanity recpt and light switch and the second to a junction box located in the middle of the dinette overhead.  From there, through the tv relay and two more junction boxes, most of the ac lights and outlets are serviced. Thus the way I read the diagram the only path from the lavy GFCI to the CB is through the bay GFCI but either I am not reading it right or the "as built" is wired differently from the Aug 2002 diagram I have.
The Leviton GFCI I put in last week is the correct 20 amps to match the CB for this circuit.
Yeserday I checked all the connections on the GFCI before starting the generator.  When I first turned on the air conditioner, it did not trip.  After about 10 minutes it did.  And then after being reset and again starting the ac unit or the microwave, it would trip immediately.  I did notice however it would trip as soon as either one of those appliances were turned on, even before the genset surged.  The microwave and genset are of course on different circuits from the lavi GFCI.  If I turned on the TV, which is on the same circuit, the GFCI does not trip.
I guess I'll try installing another GFCI outlet, but I suspect there is some other problem. The GFCIs that I previously replaced wouldn't reset at all where this one does once the load is removed.  The electrician at home depot speculated a lose connection in the GFCI circuit somewhere.  Is that consistent with the situation here where the outlet does not trip unless the load from another circuit is added?  Instead of putting in a GFCI at each of the circuit outlets to try and locate a problem, can I use my multi-meter?  What reading would I look for...some voltage less than the other outlets?
This sure is fun!
John Fearnow
2002 patriot-thunder