The connectivity and proximity among framework cations and anions in covalent oxide glasses yields unique information whereby their various transport and thermodynamic properties can be predicted. Recent developments and advances in the reconstruction of anisotropic spin interactions among quadrupolar nuclides (spin > (1)/(2)) in solid-state NMR shed light on a new opportunity to explore local connectivity and proximity in amorphous solids. Here, we report the 2D through-bond (J-coupling) and through-space (dipolar coupling) correlation NMR spectra for oxide glasses where previously unknown structural details about the connectivity and proximity among quadrupolar nuclides (Al-27, O-17) are determined. Nonbridging oxygen peaks in Ca-aluminosilicate glasses with distinct connectivity, such as Ca-O-Al and Al-O-(Al, Si) are well distinguished in {O-17}Al-27 solid HMQC NMR spectra. Both peaks shift to a lower frequency in direct and indirect dimensions upon the addition of Si to the Ca-aluminate glasses. The 2D Al-27 double quantum magic angle spinning NMR spectra for Mg-aluminoborate glasses indicate the preferential proximity between Al-[4] and Al-[5]] leading to the formation of correlations peaks such as [Al-[4]-Al-[4], Al-[4]-Al-[5], and Al-[5]-O-Al-[5]. A fraction of the Al-[6]-Al-[6] correlation peak is also noticeable while that of Al-[4,Al-5]-Al-[6] is missing. These results suggest that Al-[6] is likely to be isolated from the Al-[4] and Al-[5] species, fortning Al-[6] clusters. The experimental realization of through-bond and through-space correlations among quadrupolar nuclides in amorphous materials suggests a significant deviation from the random distribution among framework cations and a spatial heterogeneity due to possible clustering of framework cations in the model oxide glasses.