OK, since you don't have the nuts nor verbal encouragement to answer my posts I'll give you a clue. I'm both a Naturalized citizen and a Natural Born Citizen. Both my parents were American citizens, working overseas at the convenience of the government of the US at a US installation. That makes me Natural Born. If you have the nuts to respond, which I doubt, I'll also explain why I am also Naturalized.....
Well, there you have it! Congratulations!
You're eligible if you're over 35 and have moved back at least 14 years. BTW, the reason is your parentage, not the US installation fact.
Of course, a lot of birfers would disagree ... but that leads to absurd results, such as US military should be penalized for serving abroad by having their progeny ruled ineligible to be president.