We show that hadronization via quark coalescence enhances hadron elliptic flow at large p ⊥ relative to that of partons at the same transverse momentum. Therefore, compared to earlier results based on covariant parton transport theory, more moderate initial parton densities dN/dη(b = 0) ∼ 1500 − 3000 can explain the differential elliptic flow v2(p ⊥ ) data for Au + Au reactions at √ s = 130 and 200A GeV from RHIC. In addition, v2(p ⊥ ) could saturate at about 50% higher values for baryons than for mesons. If strange quarks have weaker flow than light quarks, hadron v2 at high p ⊥ decreases with relative strangeness content.