H-4 child of a domiciled H-1B parent Yes — by published rule
Eligible to domicile: A, DV, E, G, H-1B, H-4, I, K, L-1, L-2, N, NATO, O, Q, R, S, T, U, V (+ SIJ/SIV, adjustment-filed). Cannot domicile: B, C, D, F, H-1B1, H-2, H-3, J, M, P, TD, TN, WB, WT.