Here's how I fixed mine. (Actually a neighbor was throwing it away so I hauled it home to see if I could fix it. I did!) At the bottom of the carb bowl is a nut. Empty the tank of as much fuel as possible and remove this nut. I believe it was a 7/16 socket. Don't lose the gasket. The nut is part of a threaded bolt that feeds fuel to the carb. There are 4 holes in this bolt that I cleaned with a combination of WD 40, a pin, and compressed air. 2 holes at the bottom that line up with each other. You should be able to see daylight through it. One inside the hollow bolt that I cleaned with air and WD 40 and one other one that goes diagonal at the very tip of the bolt. It is small but there. Done deal!
This worked for me! My 13 year-old mower runs like new again. It is a 1/2" socket btw. Thanks for all the tips to get this mower running again!