A better example would be Andrew Jackson. I don’t think there was much dispute over his qualifications to serve as President, but the reality is that nobody knows for sure where he was born. He grew up in the frontier area of western Carolinas, and in those days there were no birth certificates and a lot of people had limited literacy ... so there are no records to validate his place of birth.
President Andrew Jackson was born in the Waxhaws region of either South Carolina or North Carolina. In either case he was a citizen of one of those two colonies by birth and a citizen of the British North American colonies until the advent of the American Revolutionary War. At some point he claimed citizenship in the colony of South Carolina and became a U.S. citizen upon South Carolina’s admission as a state in the United States of America. President Andrew Jackson was qualified by the Constitution Article II, Section 1, Clause 5 exemption to the natural born citizen requirement for those persons who were U.S. citizens when the Constitution was adopted.