An addendum: I replaced the rectifier with the H-D version part number so generously supplied by Blake and all was well. There was a bit of fiddling to get it to work but all went well.
Now, when I start, there is a voltage of 12.8 to 13.0 on the battery at rest. When I am running it hits 14.5 to 14.6 volts. That means it is charging.
Add this to the list, as in:
When it breaks, and it will, replace with...
