You need to get yourself a little paperback booklet titled 'Great Britain- and the Tommy Gun story' by Tom Davies. Too many pictures but VERY interesting.
I doubt very much that any of these special tools, if any, especially bench tools were ever issued down to Armourers on the shop floor at any level simply because the only special tool that they would need is the breeching up clamps for the body and barrel. Even then the bench vice and lead clamps would grip the body. While UNbreeching is usually a brutal process simply because by definition, it's only being unbreeched to replace the barrel - which again by default, is defective! Yep, done it a few times....... I seem to recall that the only Armourers gauges were the FPP. Even the oil bottle and pullthroughs were standard UK Army issue but the specially shaped chamber brush was issued
The remainder of the tools such as punches and screwdrivers are in the Armourers basic tool kit