H-4 child of a domiciled H-1B parent Yes — by published rule
Eligible status must permit permanent residence and be held ≥12 months. RDS list: A, E-1/2/3, G, H-1B, H-4, I, K, L-1A/B, L-2, N, O-1, O-3, R, T, U, V, NATO. F absent; TN did not appear in the excerpt (unconfirmed absent).