Hurray! Success - and at no cost!
This happens every once in a while to the best of us. Now that you know what to do if this should happen again, I'd say leave well enough alone for now. If it happens again soon, then after you've freed the starter drive, pull the starter itself and remove the Bendix drive so that only the bare starter shaft is exposed. Lay the starter on a flat surface, such as your garage floor or work bench. Hook the starter up to a 6 volt battery via jumper cables. Connect the red clamp (+) to the starter's mounting flange. Holding the starter firmly, touch black clamp (-) against the large brass terminal on top of the starter. The shaft should spin at high revolutions. Watch the starter shaft's spinning action. It should be straight and appear smooth. If it wobbles or appears blurry, it is bent. If so, that is why the starter is locking against the flywheel teeth. Use a vise and straighten the shaft until it spins clearly.
While the starter is out, examine the flywheel teeth around the full circumference of the flywheel. The Model A engine tends to stop in one of two places, which is where the starter drive will engage the next the time the engine is started. Those two areas of the ring gear get most of the abuse from the starter drive slamming against them. Multiply that by tens of thousands of starts in the last 90 years, unless the ring gear has been replaced somewhere along the line. If the teeth are chewed up in these two areas 180 degrees opposite each other compared to the rest of the ring gear teeth, the ring gear needs to be replaced.
The source of your problem, then, is going to be either a bent starter shaft or chewed up ring gear teeth - or both!
Marshall