[en] The longitudinal elastic electron scatting from factors are calculated for the ground stases of 6^Li (J^n-T = 1 +⁰) 7^Li (J^n-T=3/2 1/2) 9^Be (J^N- = 3/2 1/2) and 1^0B (j^n- T= 3+⁰) nuclei. The two-body interaction of Cohen-Kurath is used to generate the p-shell wave function. The effect of the exact center of mass correction on the longitudinal electron scattering from factors are re-examined. The inclusion of the exact value of the center of mass correction in the translation invariant shell model (TISM) gives good results. A higher 2 p-shell configuration enhances the form factors for q-values and resolves many discrepancies with the experiments. The data are well described when the core polarization effects are included through effective nucleon charge. The results are compared with other theoretical models. (Author)