NS, has seen Minor v. Happersett before and about 4 to 5 other Supreme Court cases. He knows.
The language of Minor v. Happersett, while circuitous, does pin down the meaning of the term "natural-born citizen," via consideration of doubt, the standards of which are described starting with the first paragraph of my excerpt from that 1874 decision.
So, people who claim that the term "natural-born citizen" remains undefined, are wrong. Minor v. Happersett defined it adequately to disqualify Obama, due to doubt.