The problem arises from the fact that we are speaking ENGLISH. The Quartermaster Corps didn't: they spoke "Quartermasterese" or something. Everything was backwards, but it made sense. They stored things by WHAT they were, THEN by the model and so forth.
Look at the old Smellie, for one example. In Quartermasterese, it is the:
Rifle, Short, Magazine Lee-Enfield, Calibre .303, Mark III
or the
Rifle, Short, Magazine Lee-Enfield, Calbre .303, Mark III*
which indicates the absence of the cut-off and dial sights.
In 1927, they went to a slightly-newer system, giving the RIFLES Numbers, so the same rifle now became the
Rifle Number 1, Mark III
or
Rifle Number 1, Mark III*
being that all Rifles, Number 1, were .303"-calibre Magazine Lee-Enfield short rifles in the first place.
Funny, though, the bayonets usually continued to be referred to as the Bayonet, Pattern 1907 Mark I.
The replacement for the Number 1 Rifle was the Number 4, and we have just seen its variants described.
But RIFLES are one thing and BAYONETS are something else, so BAYONETS had their OWN system of Numbers and Marks. FORTUNATELY for the sanity of the rest of the world, the BAYONET was Numbered to the RIFLE, but its own MARKS continued in a separate series, which we also have been given (thankfully). As the BAYONET Number 4, Mark 1 was so slow and expensive to make, it was quickly superceded by the BAYONET Number 4, Mark 2 and subsequent variants.
But that's how they did it: THING first, then its NUMBER, then the MARK of THAT NUMBER of THAT THING.
I find that a large glass of rum can assist greatly in sorting it all out. For correct historical versmilitude, use SR,D: Service Rum, Diluted. You can always tell the wife that it's historical research or something.
Oh, but it's fun!