STAR measurements of identified-particle correlations in Au+Au collisions at = 200 GeV are used to explore possible hierarchical structures in the particle-dependent correlations due to the chiral magnetic effect (CME) and the chiral vortical effect (CVE). Correlations of p-π (p-Λ), sensitive to the possible CME (CVE), are reported and compared with hadron-hadron (h-h) correlation, yielding a charge separation ordering (p-Λ > p-π ~ h-h). The estimated background strength from transverse momentum conservation (TMC) hardly shows any centrality dependence. For Au+Au collisions at 19.6, 39 and 200 GeV, clear signals above the background are observed for mid-central and peripheral collisions while results from central collisions (< 15%) can not separate from the background. For the results from collisions at 7.7 GeV, all are consistent with the TMC background although the errors are large.