Sadly your info/memory in incorrect. No Vulcan was in any museum and had to be taken out of it. All the Vulcans that were used were still in the air force squadron inventory.
The tanker support was from Victors. The Victor was the stablemate of the Vulcan, but had been converted to tanker duties many years previous. The tanker variant of the Vulcan came into service after the Falklands conflict.
The missions were flown from Ascension Island's Wideawake airfield.
The airplane was a VERY large tailless jet flying wing almost delta in shape (but not a straight delta). It had a tricycle gear. The leading edge of the wing was not straight. It was swept back in several straight segments. Naturally, it had British markings. From the pictures I googled of the Vulcan, that was it.
One thing I strongly remember is that where the landing gear was attached to the wing leading edge, there were NOT flush rivets or bolts. There were great big rounded heads sticking out into the airstream. I thought that was particularly crude compared to American airplanes, but it was explained to be by a person on staff that it was an old airplane (and that was back when I was a kid). There was also an article in the newspaper about the British getting it airworthy for the war.
The museum was the Offut Air Force Museum (where the Strategic Air Command was stationed). My memory of the situation is not incorrect. I have no idea if it actually went into combat, but the paper said it was being retrieved and flown out because of the war. Since it was durning the Faulklands war, I believed it and still do.