We examine two recently proposed models of charge ordering (CO) in the nominally 1 4 -filled, quasione-dimensional (1D) organic charge transfer solids (CTS). The two models are characterized by site charge density "cartoons" ...1010... and ...1100..., respectively. We use the Peierls-extended Hubbard model to incorporate both electron-electron (e-e) and electron-phonon (e-ph) interactions. We first compare the results, for the purely electronic Hamiltonian, of exact many-body calculations with those of Hartree-Fock (HF) mean field theory. We find that HF gives qualitatively and quantitatively incorrect values for the critical nearest-neighbor Coulomb repulsion (Vc) necessary for ...1010... order to become the ground state. Second, we establish that spin-Peierls (SP) order can occur in either the ...1100... and ...1010... states and calculate the phase diagram including both on-site and intra-site e-ph interactions. Third, we discuss the expected temperature dependence of the CO and metal-insulator (MI) transitions for both ...1010... and ...1100... CO states. Finally, we show that experimental observations clearly indicate the ...1100... CO in the 1:2 anionic CTS and the (TMTSF)2X materials, while the results for (TMTTF)2X with narrower one-electron bandwidths are more ambiguous, likely because the nearest neighbor Coulomb interaction in these materials is near Vc.