Come on Guys, lets face the facts.
Concorde was never a commercial success, its one success was it convinced governments that it should not interfere in commercial projects. The project was more to do with 1960's politics than aviation.
If Richard Branson wants the "keys", let him have them but the only flight it would make in Virgin colours was to Duxford, unless of course he would expect BA to give him the spares, engineers and pilots for nothing.
Mr Branson doesn't want the aircraft he wants publicity. BA should suggest that he "puts up" or "shuts up". What they should do is offer it to him from Monday next.