At common-law, with the nomenclature of which the framers of the Constitution were familiar, it was never doubted that all children born in a country of parents who were its citizens became themselves, upon their birth, citizens also. These were natives, or natural-born citizens, as distinguished from aliens or foreigners.
Minor v Happersett never approached the question of native born Vs natural born. It was not the question nor was it part of the answer.
The question was about women voting. It declared women citizens jsut as men based upon where they were born.
‘All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States, and of the State wherein they reside. No State shall make or enforce any law, which shall abridge the privileges or immunities of citizens of the United States. Nor shall any State deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction, the equal protection of the laws.’
It never approached the question of what natural born citizen was or is, anymore than a native citizen. The intent of the court was to define who had the right to vote. Not who had the ability to hold the highest office in the land