Does it have spark? You can check by removing the spark plug from the engine, putting the coil wire back on it and placing the plug in contact with the metal block. In a shaded or darkened area you should see a nice blue spark. Be careful and do not to touch the plug or wire while doing this, we don't want to hear about you getting an unpleasant shock.
Even better. I love Tecumseh. Taught those engines for years.
Pinch the fuel line and take the float bowl off. Be careful not to disturb the float. Look for any sediment in the bowl and clean it out. The nut will have some very small holes through the top and on the side. This is your high speed jet. Clean them with carb cleaner then run a wire from a bread tie through them to make sure they're clean. Spray some cleaner up the center nozzle until it comes out the throat of the carb. Then put it back together and give it a shot.
Let me know.
Love it when a plan comes together. I'll post this as an answer to accept, then. You might also consider mixing a bit of Sea Foam with the gas per the label instructions. This will help clean the rest of the fuel system and stabilizes the fuel as well. It's available in the auto section of Walmart.
Thank you for letting us help!