I've actually found a website with your puzzle photo on it, together with other period images. I can tell you the registration of the car - OJ59, and I can tell you who is presently restoring the car - Peter Hubbard, who has devoted a Facebook site to the car. However, much to my frustration, nowhere on his comments does he mention the car other than as an AJS 9hp built for the 1932 London Motor Show.
I know that AJS were made bankrupt in 1931, and after that production of the cars limped on under the new "owners" Willys-Overland-Crossley, who tried to relaunch the marque with Crossley Torquay bodies. Is the car named after any of these marques?