It certainly looks like an odd-ball.
It appears that most of their hit-and-miss engines used an EK trip magneto, while this one has an unnecessary and regular spark every revolution (the crank and magneto sprockets appear to be the same size).
Question might be why run the magneto at twice the necessary speed, although it may not have produced such a powerful spark at slow speed?
Furthermore, the magneto is driven by a duplex chain – unusual to fit such a heavy duty chain for such a light duty.
The magneto type may be able to be traced for age, etc – it looks like a quite late model for the hit and miss era.
Just some ideas for you to follow up. I’m not an expert on hit and miss engines at all.