What you probably remember is the team that went to Castle Air Force museum in 1982. They went there to remove the refuelling probe from the Vulcan that was put on display there in 1981. No Vulcan was flown out of any museum to participate in the conflict.
I just did a search and found the following:
http://www.vectorsite.net/avvulcan_2.html
"The Vulcan performed its last flight in bomber service in December 1982, when Number 44 Squadron stood down. The remote facility at Offutt AFB had been shut down in 1982 as well. That wasn't quite the end of the story, however. The Falklands conflict had strained tanker resources, and though the RAF was acquiring old Vickers VC10 airliner airframes for conversion into tankers, the lead times on the effort were too far out to deal with the immediate shortfall. In 1982, the decision was made to hastily convert six Vulcan B.2s to an interim tanker configuration, using Flight Refueling Limited Mark 17B hose-drum units (HDUs) intended for the VC10 tanker program. The original idea had been to fit an HDU into the bombbay of each aircraft, but hose didn't have the reach, and so the actual fit involved cleaning out the ECM gear from the tailcone and shoe-horning the HDU underneath. The effort took seven weeks from startup to redelivery of the first "Vulcan K.2". initially designated the "Vulcan B.2(K)", to the operator, Number 50 Squadron, the only Vulcan squadron to survive the 1982 phaseout."
I suggest that the Vulcan that was at Offutt was one of the ones talked about here. It was not airworthy when they arrived, but it evidently did not take much to put it into ferrying shape.