Little late to add, and prob not much help, but yea, I was going to say check the carb.
When you do, do not drain the fuel out of the carb by the access plug. keep all the gas in there, do not move it around much, move it from the car to a stand as gently as possible.. Take off the top, and carefully look through the gas to the bottom of the bowl ( matches are a no-no at this point *_no**). If you see very very small fine particles you are cursed by the evil rust-dust spirit I am. ( I pour my fuel through a single layer of tissue into a used Chinese-soup plastic bowl ( yes must be Chinese) and see what fines show up, and how much. ( tea-leave-read them to see the future of my car and the amount of future work it will need =wink=
From this point, take everything apart, (don't need to do the choke most likely) if the carb is not gunked up or you do not think it is on the inside, you can use carb cleaner spray, to clean all the pieces. Blow compressed air throughout everything you can!
Replace all the rubber hoses associated with the fuel line, if they are old, inside pieces can dislodge themselves and go into the carb - if they are after the filter..( the filter is useless against the evil rust dust &(rage_by the way)
When I got my convert, the tank was so rusty, and so much rust in the lines, .. replaced the tank (2x don't ask) , and I was still rebuilding my carb 2x a week in the beginning. after years, I still have to clean the carb out about 4 times a year - I think it is the line..........
If the carb gasket looks good you can reuse it - I've reused gaskets about 10x before swapping them out.
WHEN I rebuild the car, I am going to put in a new stainless steel fuel line.....
.... its a dream I have..sad0013=
my second thought is along with Steveo, check the diaphram on the distrib. when one of the two diaphragms went in my dual vacuum distrib, driving became a nightmare. So a quick check outside of doing the carb, is to swap out the distrib with another.
good luck!
Matt