To really show this, we would need good profile pictures much like in Speed's Mauser books.
You have to look at and handle a lot of British Mausers to get to know particular features or style of the different firms. For me, it is mostly the metalwork that sets them apart but there are little things in stocking which are particular to each maker too.
One obvious example which comes to mind is the pre war Rigby style of forend with no horn tip, whereas Jeffery and Westley Richards almost always used a horn tip.
Also, remember that many "English" Mausers are just branded Mauser TypeA's.