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Take a look at this carburetor. It seems to fit the unit you have. It looks like the check valve under the primer may be plugged, or the passage from fuel tank to the primer could be plugged, but one of them is not letting the fuel enter the carburetor for running. Here is link.----http://outdoorpowerinfo.com/repairs/briggs_pulsa-prime_carb.asp
Thanks a lot Curtis. The link is a great help. Just one more question. If the check valve is gummed up, is there a proprietary product I can use to clean it without dismantling? Like Redex in a car engine?