Margaret,
Operation Black Buck (Falklands) was a cobble up of what we had left. We were very lucky to get away with it. Many museum pieces were robbed to make the Vulcans serviceable and refuelable.
The refuelling was carried out by Victors. Here is the plan...
The Vulcan that actually hit Stanley airport was originally the reserve aircraft. The first aircraft developed a fault with the cockpit opening windows (DVs) and couldn't pressurise.
Martin Withers, (the pilot of the reserve aircraft that took over) thought that it was a suicide mission. And indeed, it nearly turned out that way as he was running on fumes before his final refuel rendezvous. (Someone miscalculated big time!)
The outcome was one bomb hitting the runway, which despite all the accolades, was not really what was wanted. However, it did put the fear of God into the Argies and they feared that their mainland might be attacked.
The range of a standard Vulcan (14 fuel tanks IIRC) is about 2500 miles, but this can be extended if saddle tanks (2) are fitted in the bomb bay. I don't know if the Black Buck aircraft had a saddle tank fitted or not.
Vulcan 607 by Rowland White is a great read about the Falklands operation. A very brief outline can be read here
link