Hi JandL - This engine had the old Flo-jet carburetor on it if I remember right. These were made out of pot medal and very subject to warpage between the bowl and top. They also often got corroded and pitted where the fuel nozzle seats in the bottom half. This caused them to run rich just like a leaky N&S.
It is a Briggs and Stratton 23 203010 228611, it will start if cold and run fine for about 4-5 minutes then act like its running very rich (light black smoke out exhaust) and shut down.
A good way to tell if this is the problem is remove the air cleaner and bracket and see if fuel is leaking from the carburetor intake when setting for awhile. One way of getting around all this if the leak is not bad is turn the fuel off from the tank when ever the engine is shut down.This is the cheapest way out as these carburetors are probably not available anymore. You might also turn the fuel off when it starts smoking to see if it clears up before running out of gas. I'm going on memory here and it's getting worse every year, so I may have missed something. I no longer repair engines as I'll be 70 this year. Good luck on your project - bper (Bruce)
Hi everyone - I do stop by once in awhile just to read some of the posts. I'm afraid my small engine knowledge is going by the wayside fast. I did work on quite a few model 23's though in years past. A very good engine.
Hello everyone that's still here from the old forum and Springs a coming.
Retired Small Engine Technician .....