USCIS Mistakes are made and U.S. Citizenship can be rescinded.
I strongly recommend that you seek an appointment or teleconference with an experienced immigration and naturalization attorney. In general, At least one parent must be a U.S. Citizen at the time of filing the N-600 for a child to derive U.S. Citizenship.
Such activity can complicate matters and may result in the loss of lawful permanent resident status.
The above is general information, not legal advice, and does not create an attorney client relationship.