What's the Sears Model#?
Without knowing exactly which engine it has..........

http://forums2.gardenweb.com/forums/load/lmower/msg061726346162.html

It has this type of carb. Look at the posting, especially the main jet. I have shown a tip cleaner inserted into the small hole that gets clogged with varnish. That is usually the problem. Or water in the bottom of the bowl.

The model # is: 944.368300.
Thaks in advance to everyone for their invaluable help.

OK-
We have a Canadian model which makes things more difficult.
The engine is a Tecumseh (branded as Sears)
I can't find that number in my conversion chart to determine which TEC.
Craftsman # is 143.986708 for anybody that might have a newer chart.

Apparently the carb# is a TEC 640020

IF this carburetor has the plastic float bowl, your best bet is to get a complete bowl kit.
It's basically a carb rebuild for a reasonable price.

This is a bit dated-bowl kits
Walk-Behinds 1997 and earlier - 730235B
" " 1998 and to date - 730637A

IF not, does it appear to have a brass bolt holding the carb bowl on?
IF so, that is your Main Jet.
Remove and clean out the tiny HOLES.

Sorry I can't help more.

Here is a link that might be useful: Bowl kit?

Yes the carb does have the plastic bowl.
Thanks for all your help.
Looks like I have a carb to rebuild....

I've never done one, but it's my understanding is that the bowl is an easy swap and you basically have a rebuilt carb.

You say it's got lots of fire so i'm assuming your meaning spark. If that's a fact and you seen the spark then how bout your ignition coil? Is it good and is it properly spaced from the flywheel. Your spark plug can still put out spark but be bad, that's where i'm at without seeing it

Chris, I agree Is there spark?

I bought a new carb from amazon for under $20 bucks. Runs like a new mower now.