Hi Dennis,
So many places it could be, where to start?
The engine running well is a good thing. When it stops there is likely only one cause.
You have to find that "root cause".
You are doing "diagnosis by replacement". Valid, but looking for symptoms and root cause is better.
First, what did you change? The carb flooded (gas overflowed?) and you unsuccessfully worked on it.
So you replaced the carb, unsuccessful, so we know that was not the cause of the no start.
New plug and magneto had it running! Only one of those things is the answer. Which one?
Well, the plug is the cheapest/easiest thing to change, so try another new one.
If it starts what have you learned?
Often when we have a problem we replace and adjust so many things we never know where "home" is.
A rule of thumb when problems arise is to return it too the basic "as designed" condition.
We know it runs like that, whereas we never know for sure the results of modifications.
Another rule is to supply what it needs: Fuel, air, compression, spark, timing, exhaust. Have all these?
Fuel? smell gas on the plug? Plug wet? (= too much) Does it pour out of the carb line?
Air? Filter blocked or soaked in dirt or oil? Air leaks (like carb slid off)? Air leaks=too much.
Spark? Check the plug, wet? Dirty? Turn the engine over, bright yellow spark and snap?
Timing is had to check on these engines, but basically is the crank/magneto nut tight or key sheared?
Exhaust, plugged or leaking?
For you Dennis, I'd look closely at your plug. Dirty or wet? Too much gas or oil? Does it spark?
I`d suspect it is dirty and wet with oil, fouled. Replace it and try running 32:1 oil mixture.
Buy a very good quality oil because the cheap stuff will foul plugs, leaving you stranded #!@!!$!!
A quart of $$$ good oil will take you over 600 miles, and save you $3-$6 at a time on plugs.
Pay the extra $3-$6 on better oil.
Steve