H-4 child of a domiciled H-1B parent Yes, through a side-door — read on
Rutgers policy: only A, E, G, V (plus asylee/refugee/PR) may petition for in-state via domicile — H-1B, H-4, L, O-1, TN CANNOT, however long domiciled. Materially harsher than CA/TX/NY.