It appears the certificate is public now with a rating AA for her Gemini rising birth time
Yes. Tim posted the link. But birth certificates are issued days, weeks and sometimes months after birth. So there is a lot of room for errors and typos to creep in, especially when you have to deal with copies only where there's an issue of authenticity. Obama's birth certificate comes to mind here. So you can't really trust this. I had to learn this the hard way. And you also can't trust popular rectification times, like Starkman. He tends to be way off.
So the best way I know to verify a time of birth is by physical appearance. But that only gives you an approximate time, usually within half an hour of the actual time. For most natal chart reading purposes that is good enough. But for those who do predictions with complicated calculations or divisional charts, that is not enough. However, if you have the correct rising sign only and ideally the correct decan, that's still better than having to monkey around with times of birth that are based experimental rectification techniques.
In any case, don't get star struck by famous astrologers' opinions or quotes from ancient sources. If you like a theory, method or approach, test it thoroughly and only then settle for it. There's a lot of nonsense in astrology books handed down, even traditional ones, a lot of astrologers books contain mistakes. So you can really only trust your own data or the data of someone who's been fully transparent about it.