Joel - your fuel may not be the freshest, but it DOES run when priming it if I read correctly...
What your carb needs a GOOD cleaning. When you remove the bolt that holds the float bowl, you will need to clean the tiny holes in it. It looks like this:
<img src=http://www.lawn-mower-shop.com/bowlnut.gif>
Use a fine wire to clean out these holes & spray it liberally with carb cleaner. THEN your snowblower will run like a champ. Since its an older unit, make sure the bottom mixture screw is set 1.5 turns counterclockwise from a lightly seated position, and the idle is set 1 turn counterclockwise from a seated position.
Marty FORMERLY MAJORXLR8N