The postwar British singles had the timing case on the right hand ("offside") side of the engine. The bike in the photo appears to have the drive side on the right side. As Charlie says, likely an Indian "Arrow" 250 single. In 1960, on Okinawa Island with the Marines, I had Japanese "Hosk" 250 which was a dead ringer for the Indian 250. This could be one of those too.
Ralph