My hats off to Wendax for solving this one.
I recognised it was at the Petersen Museum in California instantly, and it was a speedster style T bucket /Model T Touring based hot rod with a four cylinder Winfield tuned engine,(I even recognised the Woodlite headlamps and finned Buick brakes) but nearly 2 days of searching (16 hours) failed to get me anything except more photos of the car at the museum in the L.A. Auto-tude exhibit with zero information on its name , owner or builder.
Wendax, If you don't mind me asking , how much time did you have into solving this puzzle and what did you know that solved it?