Now-a-days, the fashion in Italy and the UK seems to be to sign the gun. If the work is one engraver only, the signiture is by the trigger guard. In the case, most frequently seen in Italy, where one person does, typically, the scroll and another a game scene, one signs on the scene, one by the trigger guard. In Greater Germania, they sometimes use names, sometimes initials.
A while ago, signitures were not the fashion. The Sumners did wonderful scroll on Bosses and others and I've never seen a signiture, although Boss kept a lot of work orders so one can track them. Ken Hunt used to do a mark, but, I believe, has gone to a block letter signiture. His offspring both use full names. Malcolm Appleby sometimes used a totemic tree as his signiture. One example I know, on a McKay Brown, fills the whole bottom of the action. Otherwise, his work was pretty unmistakable.