If you see lots of smoke the engine is NOT overheating. An overheated or overlean engine gives virtually no smoke and just up and dies quickly like it ran out of gas or died of starvation. In addition, when you try and restart it....it typically won't restart...unless you reprime it.

An over rich engine, will smoke, will try and keep running with all that extra fuel but acts like its suffocating from too much fuel. If you restart it with a nice hot glow, it usually starts no problem.