Thanks for the pointer.
I have gone carefully through the report (again, fwiw) but I still fail to understand what readings are available to the FE.
Obviously there are various fire alarms indicators and some went off. Actually I'd say that there was little doubt about the fact that there was indeed a fire.
Now given the very timing of the event I would say that the FE was confronted with the question of the rifght course of action.
Typically, as others have mentioned, it is not common practice to shut down an engine at rotation... not even taking into account the very defavourable Concorde low speed flight caracteristics.
So unless ordered by the PIC (he was not) I'd say that the FE would not shut down an engine without having very hard evidence that this the right thing to do. Hence my quesion: what readings are available to the FE to assertain what's is really going on ?
(note that I believe that this flight was doomed no matter what)