What identification do you want?
To me, they are a standard set of calipers that have been bought by a company and modified for a specialised use within their production or inspection process.
The stickers on them would indicate they are part of some documented quality regime.
M&W might not finish the ends of their products in such a rough manner.
Consider the maximal opening permitted by the chamfers at the top of the legs (inside the bow) compared to the tiny, unidirectional (or even non-) adjustability offered by the screw.
Possible speculated use: if you had a circlip groove on the end of a shaft, when opened to their maximum (knob against ball stop) they could be used as a no go gauge for its diameter, and then adjusted inwards to be snug and then tried on a round rod representing minimum diameter.