Battery, headlights and amp meter

So I started the car, pulled the green wire off the back of the alternator, and grounded the alternator, no jump in voltage.

Yes, flat pack vr, 2 terminal rubber plug. Alternator has two field connections, large power post and a separate ground post on it.

So is it the alternator or some wiring?
OK on the connections to the back of the alternator; that is right for the year.

It would help to be sure if you answered the question of where you measured the 10v and 1v before..... if no answer, we can only guess and may not diagnose the problem right. If measured at the 2 small alternator terminals, and you grounded the terminal that had 1v, then, yeah, it's the alternator.