We present the main features of thermal and resonant emission for one of the first radiating molecules, the helium hydride ion (HeH + ), from dark ages halos on the stage of the early Universe. Evaluating the optical depth, thermal and resonant brightness temperatures and spectral fluxes of dark ages halos is based on computing the cross-sections and rate coefficients of excitation/deexcitation of the lowest five rotational states of HeH + by inelastic collisions with atomic hydrogen. It was shown that in Dark Ages the collisional excitation/de-excitation by atoms of neutral hydrogen and electrons are competitive, but in the denser regions, e.g. virialized halos, the contribution of collisions with atomic hydrogen is larger. We demonstrate the peak time dependence in the thermal and resonance luminosities evolution of halo in HeH + lines, and the optimization of observations can be made concerning for redshift.