UPDATE:
I was able to get the spark plug out of the engine. I first cut a slot, in the threads that remained in the engine, by using a small three sided file. I then heated the surrounding surfaces and then used a four pointed extractor. I made sure that one of the extractor's pointed sides was down in the slot.
I also used constant pressure with a breaker bar on the end of the extractor.
I hope this helps someone else with this problem.
No need to remove the head.