[en] We investigate the star formation history (SFH) and chemical evolution of isolated analogs of Local Group (LG) ultrafaint dwarf galaxies (UFDs; stellar mass range of ${10}^2{M}_{\odot <!--\; ???\; -->}<<!--\; <\; -->M_{\ast <!--\; ???\; -->}<<!--\; <\; -->{10}^5{M}_{\odot <!--\; ???\; -->}$) and gas-rich, low-mass dwarfs (Leo P analogs; stellar mass range of ${10}^5{M}_{\odot <!--\; ???\; -->}<<!--\; <\; -->M_{\ast <!--\; ???\; -->}<<!--\; <\; -->{10}^6{M}_{\odot <!--\; ???\; -->}$). We perform a suite of cosmological hydrodynamic zoom-in simulations to follow their evolution from the era of the first generation of stars down to z = 0. We confirm that reionization, combined with supernova (SN) feedback, is primarily responsible for the truncated star formation in UFDs. Specifically, halos with a virial mass of $M_{\mathrm{v}\mathrm{i}\mathrm{r}}\lesssim <!--\; ???\; -->2\times <!--\; ??\; -->{10}^9{M}_{\odot <!--\; ???\; -->}$ form $\gtrsim <!--\; ???\; -->90\mathrm{\%<!--\; \%\; -->}$ of stars prior to reionization. Our work further demonstrates the importance of Population III stars, with their intrinsically high $[\mathrm{C}/\mathrm{F}\mathrm{e}]$ yields and the associated external metal enrichment, in producing low-metallicity stars ($[\mathrm{F}\mathrm{e}/\mathrm{H}]\lesssim <!--\; ???\; -->-<!--\; ???\; -->4$) and carbon-enhanced metal-poor (CEMP) stars. We find that UFDs are composite systems, assembled from multiple progenitor halos, some of which hosted only Population II stars formed in environments externally enriched by SNe in neighboring halos, naturally producing extremely low metallicity Population II stars. We illustrate how the simulated chemical enrichment may be used to constrain the SFHs of true observed UFDs. We find that Leo P analogs can form in halos with $M_{\mathrm{v}\mathrm{i}\mathrm{r}}\sim <!--\; ???\; -->4\times <!--\; ??\; -->{10}^9{M}_{\odot <!--\; ???\; -->}$ (z = 0). Such systems are less affected by reionization and continue to form stars until z = 0, causing higher-metallicity tails. Finally, we predict the existence of extremely low metallicity stars in LG UFD galaxies that preserve the pure chemical signatures of Population III nucleosynthesis.