Check the strainer in the carb where the fuel line screws in.
But if it starts with no throttle from cold I reckon there is a carb problem. Generally one pump per cylinder plus one for good luck. Are you sure it was oil smoke and not excess fuel going out the exhaust? The auto choke could be set wrong too. I didn't think quadrajets had jets as such. Metering rods.
It could be a hundred things. Vacuum leaks etc.