Help with a Stihl 009 Please

[saxman]

I bought an all orange 009 that is in good cosmetic shape over the weekend. It will run on prime but not continue to run. The fuel line is ok and I have removed the carb (twice) cleaned it with solvent and replaced the gaskets and diaphragm. I got her back together and when it is cold it will start and accelerate but then as it warms up it will only idle then it will die and not start. I have been thinking of other things to check such as; crank seals, reed valves, needle valve adjustment. Give me some ideas I am getting confused. By the way it has a Walbro carb

Steve