if we accept the common law understanding of natural born citizen, he was a natural born US citizen by virtue of having been born on US Soil however.
“if we accept the common law understanding of natural born citizen, he was a natural born US citizen by virtue of having been born on US Soil however.”
No, that is an entirely false statement. At the time when Chester Arthur was born in the United States, a child born in the United States did not acquire U.S. citizenship when the parents were alien citizens. The acquisition of U.S. citizenship by birth on U.S. soil was not adopted until later in the 19th Century when the enactment of Federal naturalization laws for such births within the jurisdiction of the United States came into effect. Prior to that time, some states granted naturalized citizenship to the children of foreign citizens, but not for Chester Arthur and not natural born citizenship, only naturalized citizenship in other states and in other historical periods.