what might have happened, if you do not drive the car much, is there may be some sort of varnish on the needles and seats.. what i have done sometimes in the past, on some, is sprayed the carb fuel inlet with a good quality sort of carb cleaner. i did this with the carbs removed on the engines i did this with.. , and then afterwords i ran a good quality type of fuel / carb cleaner.
one thing you may want to do, if you do not drive the car often, is to put some sort of fuel stabilizer in it, and then fill the tank all the way up, and then let the car run for about 15 minutes.. that way the stabilizer will have a chance to work its way thru to the carbs, and the float bowls.. this will prevent the varnish from forming later on.
the most common brand is called STA-BIL.. but STP and some of the other major companies make the same sort of thing. just follow the instructions on the conatainer.
good luck, and keep us informed.