Technically, I think the base counts as US territory as far as citizenship-from-birth goes, but I could be wrong.
The big one for people born abroad is if one of their parents is a citizen at the time of their birth. If you're an American citizen, go to France for college, and have a kid with a French citizen while you're there, the kid will have both American and French citizenship.
In an early draft where there were blob alien things instead of humans. By the time they replaced them with humans they had reduced the fleet to a single ship.