I am in groups #4 and #5. I do no know enough about the law to take a position on the necessity of having 2 citizen parents.
Nobody does.(Without learning about it.) The incorrect interpretation is widespread and ubiquitous, especially amongst the legal people. The only way a person could know the correct interpretation is they have to research it. See where it originated, and what it's purpose was in being included in Article II.
Prior to 1922 it was NOT POSSIBLE to have parents of different nationalities. According to the laws in place at the time, Anyone who married an American Husband was automatically naturalized upon marriage. Anyone who married a foreign male took his citizenship.
The practice existed all the way back to the creation of this nation, but the codification of it into law occurred in 1854. See Section 2 below.
