Hi again Gerd and Bube:
A most challenging puzzle for sure.
I hope I am not going overboard here, but just some thoughts.
Trying to be very accurate, there are some questions about the photo I posted that Bube and I found. Obviously, very poor quality, shot from a very poor angle. Also, very large which I did not realize until I saw it here. You can adjust that on your PC.
Still, you can see that the general outline of the car is very similar if not quite exactly the same as Gerd's photo. The wheels match, the engine hood hinge system matches, the door hinge style matches. The shape of the rear 1/4 window is just a tad different but that may be the angle of the photo. What is missing on our photo is the hinge for that 1/4 window. So, maybe a 90% match and what I really miss is the detail of the louvres in the motor hood which are different both from the normal 319 and 328.
On to the coachbuilder. Such a company still exists according to Google.de but nothing of the history of the company can I find. None of my BMW reference books mentions Müller as a body supplier nor do my normal internet sources that deal with such questions. Complete dead end.
As to the "customer", I have Googled everything I could find on BMW executives of the 1937-1940 time period, every engineer, designer, stylist etc. and tried to match those names to a "car". Nothing. Did the same with BMW racing drivers of the same time period, nothing. Did the same with sports personalities, politicians and military figures, nothing.
I am going to have one more try with movie personalities just for the heck of it.
This is not for a point, Gerd, this is just for "me".
Bube is on it, lets hope he finds the answer.
Bill