I suggest making this "Full Screen" to see the video better. This is a video of the affect of modern high volatility fuels leaking through the main metering system right after the engine is shut off. After fumes are blown away, look for tiny fuel drips coming from under the horizontal bar in the center of the bore near the bottom. This is from the main metering system just above the venturi and throttle plate. (All this is below the choke plate at the top.) NOTE: This is the wrong carburetor for this vehicle but this change is VERY common. The 36 Dodge should have a Stromberg EXV-2.
Carter BBR 1 Carburetor on 36 Dodge :: Carter BBR-1 Carburetor - hazardous fuel mist in venturi post shut-off video by 1936 D2 - Photobucket
See also this topic on fuels in: Is Modern Gasoline Incompatible With Carburetors? Please Help!