Does it have a Tecumseh engine?

Nope, it is a Briggs and Stratton

That's kind of a mystery. It's a fuel issue, but throw in a curveball of a new carb.......Was the carb brand new, never used? I would suspect a dirty bowl nut.

I ordered it new from Sears. Where is the bowl nut? Is it in the carb?

It is possible that you have an issue with the intake manifold cracking/ loose or the seal did not get replaced. Model and type #s would help. Either that or you have contaminated the new carb w/ water or debris.You will have to drop the bowl to see. The main jet is in the nut that retains the bowl. Now might be a good time to clean the fuel tank and flush the line of debris or replace it. Add fresh clean gasoline only.

I'll drag out my pictures of Tecumseh bowl nuts. The one looks similar to a Briggs.

{{gwi:126852}}

Ok I will clean the fuel tank and line.

I seem to have a similar problem, no fuel to the machine. However, it is strange that when it lies on its left side (when I stand behind and facing it) it seems to get the fuel and can be primed, while standing in normal position it does not get fuel and cannot be primed even when I held down the safety bar (required during starting and running). After priming it and returning it to standing position, it can be started, but it stopped almost instantly - most likely due to lack of fuel. How do I solve this problem? Can mail me at shen201@yahoo.com

Have you solved your problem?

It is strange that when it lies on its left side (when I stand behind and facing it) it seems to get the fuel and can be primed, while standing in normal position it does not get fuel and cannot be primed even when I held down the safety bar (required during starting and running). After priming it and returning it to standing position, it can be started, but it stopped almost instantly - most likely due to lack of fuel. How do I solve this problem? Can mail me at shen201@yahoo.com