Theoretical studies and current observations of the high-redshift intergalactic medium (IGM) indicate that at least two cosmic transitions occur by the time the universe reaches gas metallicities of about $10^{-3}$ of solar values. These are the cosmological reionization of the IGM, and the transition from a primordial to present-day mode of star formation. We quantify this relation through new calculations of the ionizing radiation produced in association with the elements carbon, oxygen and silicon observed in Galactic metal-poor halo stars, which are likely second-generation objects formed in the wake of primordial supernovae. We demonstrate that sufficient ionizing photons per baryon are created by enrichment levels of [Fe/H] of about -3 in the environment of metal-poor halo stars to provide the optical depth in the cosmic microwave background of about 0.1 detected by $WMAP$. We show, on a star by star basis, that a genuine cosmic milestone in IGM ionization and star formation mode occurred at metallicities of $10^{-4}$ to $10^{-3}$ solar in these halo stars. This provides an important link in the chain of evidence for metal-free first stars having dominated the process of reionization by redshift 6. We conclude that many of the Fe-poor halo stars formed close to the end of or soon after cosmological reionization, making them the ideal probe of the physical conditions under which the transition from first- to second-generation star formation happened in primordial galaxies.