No, she didn’t have the requisite time as an over 18 US citizen prior to giving birth to Obama to automatically pass that on from what I understand.
Meanwhile, if it can be shown that Obama has repeatedly lied in claiming to have been born the US, when he may well have not been—technical eligibility or not—is grounds for for not inaugurating him President. I think that is a criminal act.
So at the end of the day..once again—lies about the “coverup” rather than the central act—may be the undoing here.
But what if Obama says he did not know he was born outside the USA?