The GCS of Cardan's photo reputed was once the possession of Harry Beanham..... or at least the photo was!
It's an early 350cc WA6. The B&S records only reveal four 350's sent to Australia; one to Roy Hill and sons in Adelaide, one to Mair and Co (later McEwan's Hardware) in Melbourne, one to P&R Williams in Sydney (makers of the Waratah), and the last is just a consignment number, so I have no idea where it went. It was in company with two 500's and a V twin, so probably to an aspiring maker.
However...... Stott's in Fremantle sold B&S engined machines, very likely from "Coventry Bicycles", but always advertised as "B&S". Registration records suggest that at least a dozen where in use in Perth and environs in period. Stott and his mate Freddie Hughes took a pair of 350 B&S machines to Brisbane, and rode home via Sydney, Melbourne, and Adelaide without incident.
By my reckoning, B&S made around 1700 motorcycle engines. 1500 of the 350's, 120 of the 500's and around 70 V twins.
Norm Maplestone bought two V twins, and that Mont Albert cycle car is probably one of them. Despite having a history as a maker (of the "Maple"), I've not been able to find any evidence that Norm built his engines into bikes.
In the car world, Argyll were the only single sleeve valve adherent. Making an in-line single sleeve valve engine is complex, and Argyll's first solution was a skew gear set up to drive each sleeve. Single sleeve valve radial engines were a doddle, if an artwork, in comparison to an in-line engine. The skew gears were replaced in later engines by the "wobble shaft" that john.k refers to. This was a long shaft not unlike a crankshaft, but the "big end" bearings on the throws was not parallel with the main bearings, imparting a twisting motion as it rises and falls. Elegant, but a tricky machining exercise. One exists in Melbourne, and I've ridden in the car; smooth, silent, torquey.