I wish we could find the original on which these are based. I have so far failed to find anything.
Jonpalt posted that CME marketed a Jowitt Major, and I would say this has to be one of them and not a one-off. If someone made a one-off model based on the original Jowitt engine, whether made in the 1900s or more recently, I don't see why they would cast CME into the cylinder cover, or fit a 1980s CME cover later which would disguise a vintage model as a modern copy.
Perhaps CME used Stuart as the supplier of their flywheels. The smaller engine has 3 inch flywheels, and is about 6 inches overall, so the 'Major' (at 37.5cm) is double size with a bit of extra length due to the governor-operated inlet valve.
I am a little disappointed that the larger model lacks any development of the design of the cam followers that operate the valves. I would really expect the cam followers to slide in a support bush, rather than have the large overhang seen in either size of model. I realise that often models are simplified to aid the modeller, but you would expect the larger model to have some of that extra detail. This could mean the details were not available to CME, so maybe their design was based on a simple physical model or crude drawing, and not a patent, engineering drawing or photo.