Her parents were in fact subject to US jurisdiction.
My daughter-in-law was born in Venezuela and went through the naturalization process. Her younger brother was born here and even though her parents were not yet citizens they were still very much subject to US jurisdiction as green cards and therefore he was born a US citizen.
The problem is that although Mr. Harris entered US naturalization process and became a naturalized US citizen, Mrs. Harris did not, and I'm guessing she got her green card only as long as she was married to Mr. Harris. So there is no evidence she matriculated thru our immigration process and subsequent naturalization.
And where in the 'law' did you find that obtaining a green card confers US citizenship, because it seems to me you can't pass something on that you never had.
Again, there are only 2 kinds of US citizenship; natural born, and naturalized.