US Citizenship effecting candidates running for president?

Almost all elections for positions in office, have come across a situation regarding the legitimacy of citizenship for some candidates. Many people have different opinions of what being a citizen of the United States means.  According to The Constitution of the United States, the fourteenth amendment, Section 1 “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..” The most common issue is what “naturalized” means, which is; anyone who is born out of The United States to both parents who are citizen, also makes the baby one as well. The other part of this means, if a baby was born outside The United States, it would be a citizen if the “fathers” were. Therefore, this doesn’t clarify if that means the citizenship comes only from the father, or if the mother was a citizen it would make the baby one as well. Given that the issue to serve as president of The United States, falls under the Federal Government, the federal laws apply when serving.  However, this could also conflict with the State Government and their laws if they happen to disagree with a person whose citizenship is in question. This is because their laws apply to their own state which could differ from others. Issues of citizenship and running for office has happened many times over the years, yet the Supreme Court as of right now, hasn’t got involved.  After researching this topic, I’ve realized why it’s such a popular argument between candidates.