The Marusho/Lilac history shows a motorcycle that is similar to our BMW.
Thanks to Vech for providing the link to this website for Marusho motorcycles.
Road Test – Cycle World May 1967
Two Wheels magazine, Australia, 1968 Marusho, thanks, Jims-shed.com
Two Wheels magazine, Australia, 1984 Marusho, thanks Jim
YouTube video of the Lilac and Marusho motorcycles