I'm not carb expert but I had an issue with my 38 stalling & running & stalling that turned out to be debris in the float bowl that would periodically block the needle valve temporarily. That's a fairly easy place to start.

Hi Robert

Pulling the throttle a little does exactly the same thing as holding the accelerator down a little.

How low is your idle speed set?

You might try just setting the idle a little faster with the idle SPEED screw on the carburetor throttle shaft lever.

Thanks, I can try both suggestions. Easy enough to pull the cover off the top of the carb and raise the idle speed a little.  It idles fine otherwise.  Understand the Throttle and accelerator do the same but only happens when slowing down to a stop sign so both feet are working the clutch and brake so difficult to hit the accelerator, so have been just using the throttle. thanks. 

@robert-e-dishman Have you recently checked the timing?

I'll assume that you've already checked the obvious mechanicals around the carb and linkage. Is everything tight and not sloppy or rattle-y. If you haven't cleaned everything up and lubed everything, maybe a trip to the car wash to blow everything off around the carb is in order. Drive it home a do a light spray lube around the same area. If you don't already have one installed, a quality fuel filter assembly right before the carb is invaluable. One that you can see into so to keep track of. That'd be a good time to pull the top of the carb and carb-clean in and around. You may have a singular symptom but a lot of times it'll be a multiple set of fixes.

And yes, emphasis on "Do a thorough tune up". You might be surprised how many little problems that will solve. And if you're like the rest of us... it's good practice. Cheers

Something else to consider is your fuel tank level. My 1936 Standard will cut out when the tank gets to 1/4 or slightly less full because of the fuel sloshing around in the tank. Considering the age of these vehicles sometimes idle speed adjustment or spraying carburetor cleaner in the carburetor helps. Some of us call this tinkering. The old car wants some attention.