After looking at my original post, I guess I should have been more thorough.
First, it may have an alternator, and not a generator. I was just going by the discussion in the shop manual. I have never seen a generator, as far as I know, and this unit looks like all of the other alternators I have changed.
After finally getting the car out of storage and into my garage, I began to tinker with it. I noticed that the battery seems weak despite being new. I performed what seemed to be a simple test, which was to charge it up, test the voltage across the terminals with a multimeter, and then start the engine and re-test the voltage. I am under the impression that if the charging system is working, the voltage with the car running should be somewhere in the 14 Volt range, and with the car not running, somewhere around 12V. It was the same (app 12.3V) under both scenarios.
When removing the alternator, I noticed that there was not a ground wire connected to the GRD terminal. The wiring diagram suggests that there should be one. However, I suspect this is not the case as it is probably grounded by the bolts attaching it to the bracket and to the engine.
There is continuity in the wires going from the alternator to the regulator (some via the horn relay), so I plan to re-attach the alternator after having cleaned it up and then start it again and see if anything has changed.
If not, I’ll probably change the alternator and regulator since they are old anyhow, and I don’t want to mess around. I really just want to get it drivable and start to enjoy it.
Thanks for your advice, everyone, and I’m happy to have any more advice you are willing to offer.
If anyone is knowledgeable about these older cars and lives in the Indianapolis area, and would like to stop over and have a look, let me know. We’ll figure out how to work out the logistics.