Sounds like your needle is sticking, or there is junk in there. If its been sitting, run down to the auto parts and buy a gallon can of "Carb Cleaner", the kind that has the basket inside. Pull the carb apart and let it soak (no rubber parts though). Then blow it out good with spray carb cleaner, then blow it out with just air. The goop that sits up inside the carb can only be removed with the "soak" type of cleaner, the spray can won't break it up. Then when it's clean, install a rebuild kit..
Here are a couple of places..
http://www.sudco.com/ http://www.carbparts.com/