We explore the nature of carbon-rich ([C/Fe] 1D,LTE > +0.7), metal-poor ([Fe/H 1D,LTE ] < -2.0) stars in the light of post 1D,LTE literature analyses, which provide 3D-1D and NLTE-LTE corrections for iron, and 3D-1D corrections for carbon (from the CH G-band, the only indicator at lowest [Fe/H]). Highexcitation C I lines are used to constrain 3D,NLTE corrections of G-band analyses. Corrections to the 1D,LTE compilations of Yoon et al. and Yong et al. yield 3D,LTE and 3D,NLTE Fe and C abundances. The number of CEMP-no stars in the Yoon et al. compilation (plus eight others) decreases from 130 (1D,LTE) to 68 (3D,LTE) and 35 (3D,NLTE). For stars with -4.5 < [Fe/H] < -3.0 in the compilation of Yong et al., the corresponding CEMP-no fractions change from 0.30 to 0.15 and 0.12, respectively. We present a toy model of the coalescence of pre-stellar clouds of the two populations that followed chemical enrichment by the first zero-heavy-element stars: the C-rich, hyper-metal-poor and the C-normal, very-metal-poor populations. The model provides a reasonable first-order explanation of the distribution of the 1D,LTE abundances of CEMP-no stars in the A(C) and [C/Fe] vs. [Fe/H] planes, in the range -4.0 < [Fe/H] < -2.0. The Yoon et al. CEMP Group I contains a subset of 19 CEMP-no stars (14% of the group), 4/9 of which are binary, and which have large [Sr/Ba] 1D,LTE values. The data support the conjectures of Hansen et al. (2016b, 2019) and Arentsen et al. (2018) that these stars may have experienced enrichment from AGB stars and/or "spinstars". -2 -The predicted 3D corrections for molecular lines would also alleviate the extraordinarily large C abundances found in some very metal-poor stars. ... Similarly, the fraction of strongly C-enhanced ([C/Fe] > ∼ +1.0) metal-poor stars is likely substantially less than the claimed >20% for [Fe/H] < ∼ -2.0. ... -M. Asplund (2005) 1 We note for future reference that for some of the CEMP-s stars in the Yoon et al. sample the carbon abundances are based on the C 2 molecule rather than on CH.-3highlighted in the above introductory quotation, one should be alive to the possibility that some of the apparent characteristics of the CEMP-no stars might result from the 1D,LTE assumptions made in the analysis, rather than the potentially more realistic 3D and non-LTE (hereafter 3D,NLTE) ones. More generally, while 1D,LTE is currently a more precise formalism than 3D,NLTE (which is a much more challenging endeavor) it is the latter that will result in more accurate results.The aim of the present work is to use literature-based corrections determined by adopting the assumptions of 3D,NLTE to correct carbon and iron abundances based on those of 1D,LTE. The outline of the paper is as follows. In Section 2 we address semantics of carbon richness relevant to the present work. Section 3 summarizes results from the literature for 3D-1D,LTE corrections for the analysis of both the G-band and Fe I lines and 3D-1D,NLTE corrections for Fe I lines. In order to address the problem that determination of NLTE co...