“Can a natural born citizen of the US be a citizen in another country?”
More precisely, can a natural born citizen claim citizenship offered by another country? Yes, but upon claiming that citizenship as an adult, he loses his US citizenship.
Russia could declare that everyone born in Minnesota between 1955 and 1965 was a Russian citizen. That would make me eligible to claim Russian citizenship, but it would NOT make me one for the purposes of being eligible for office.
Had Obama ever made an attempt to claim citizenship in the UK or Kenya, I would agree that would cost him his US citizenship - certainly as far as being able to run for the Presidency.
Yes, as long as both her parents were US citizens, she would be "born in the country, of parents who are citizens".
A good example of this is District of Columbia v. Heller, which hinged on the meaning of "A well regulated Militia, being necessary to the security of a free State, the right of the people to keep and bear Arms, shall not be infringed." in the 2nd Amendment. So, the NBC phrase needs to be interpreted in light of what the Founders understood it to mean. At the time, a British natural-born subject held one allegiance and one allegiance only to a single sovreign - and he could never forswear that allegiance.
If [in the rarest of circumstances] he DID hold more than one allegiance [but was born in England] - he was a Denizen. A Denizen held almost all of the rights of a natural-born subject, except that of holding high office.
Same would have applied in the United States - citizen, but NOT natural-born [in the 1700's].