Hey Sourjack, sorry you're having such troubles.
But as we've found out here over the years, even though four in a row might be a record, the instances of failed new starter relays is reaching epic levels!
So don't rule out the fact that it might not be you or your Bronco that's causing the trouble just yet. It still might be of course, but it might just be the crap parts we get these days.
Yes, as they said it could be the ignition switch. It could be the wiring. It could be a couple of things even. The neutral safety switch on the transmission can keep it from starting. A bad or loose wire in that circuit can keep it from starting.
A starter running on can be the ignition switch or the relay.
Do what was suggested and if it runs on again, pull the Red w/blue "S" wire on the relay to see if it stops.
And the others have already asked this question, but when you get the chance take a peek at your starter and let us know if it's a standard old model or an upgraded modern PMGR style.
The difference is the old ones (would have come stock on an EB like yours) would be just the cylindrical motor, with the relay on the fender. The newer style has an actual solenoid piggybacked on to it and is overall quite a bit smaller in size than the older ones.
Letting us know that might give us a different direction to hunt for your gremlin.
Good luck.
Paul