kinda hard to decipher the unclear- It is possible that someone purchased a LW blank from Gaska without machining it to fit any particular action, which would simply mean that it an LW barrel blank purchased from Jim Gaska. Then there is the possibility that he purchased one of the TJ's barrel liners Gaska had made to a certain spec, in which case it is a TJ's barrel made to Gaska's spec, and would have nothing to do with an LW ;-)
I would suggest that asking the sellar exactly what he has would do wonders to solving the mystery.