"Complete jurisdiction" meant that a person was in United States society and subject to the laws of the United States.
Indians in tribes weren't. They were PARTIALLY subject to the jurisdiction of the United States. Indians who had left tribes and joined United States society WERE subject to the complete jurisdiction of the United States, whether they had naturalized or not. Immigrants were also subject to the complete jurisdiction of the United States, whether they had naturalized or not.
Not true.
Senate Judiciary Committee Chairman Trumbull defined the "subject to the jurisdiction" requirement in the Congressional Record as: "The provision is, that ‘all persons born in the United States, and subject to the jurisdiction thereof, are citizens.’ That means ‘subject to the complete jurisdiction thereof.’ What do we mean by ‘complete jurisdiction thereof?’Not owing allegiance to anybody, else. That is what it means."