Until Obama has been vetted on this and those in Congress who dropped the ball on this are convicted, there no longer is an "eligibility status" to be President.
There is now a default status and that is "we are all Americans UNTIL proven otherwise".
The approved storyline of the Romney clan is that his grandparents were missionaries to Mexico who were US citizens so their children (Romney’s father one of them) were also US citizens.
I’m not really sure how missionary children born overseas were handled back then, but his claim to be natural born could be taken to task. He clearly has a closer tie to the US than did Obama’s dad, an acknowledged citizen of Kenya.