Thought I'd update this thread. I removed the starter and did a bench check of the starter. It checked out good. A check of the wiring revealed a bad fusible link. So I had the starter bench checked by a motor repair company. The starter checked out good. I checked with Ford for the fusible link and they did not know what I was talking about. It didn't show in their database. So I ordered the link with O'Reilly Auto Parts, will pick up tomorrow.
So the problem was the switch or the wiring. I had a chance to troubleshoot today after a bad storm we had yesterday. This starting system and alternator is protected only by fusible link. The links are not shown in the wiring diagram. So I started testing power wires first and then looked at the switch. The switch has 4 positions with the 4th position being the start position. Rigging my test tool I found that the solenoid trigger would power up in position 3. Aha, so the starter stayed engaged. I had to remove a panel for access to the switch. I then saw the problem. A wire, part of the neutral safety switch, had worn and was making contact with a metal tube. This provided the ground that allowed the solenoid to stay engaged. So simple fix. Tests show system is working normal now. Should have it running tomorrow.
Only thing I can't figure out is why the starter stayed engaged when I turned the key to off. Will see how this fix works out. I use a neat tester that I make. It allows to test continuity, voltage and polarity. It uses a horn so I just test and listen for the horn. Works great when working solo.
Thought I'd include pictures of my local airport. Storm damaged hangar but surprisingly aircraft not damaged. It took a while before they let us into the airport to check our things. It was an interesting stormy day.