We have constructed a network consisting of an intimate mixture of polymer fibrils in a nematic liquid crystal. This network mimicked the order and orientation of the liquid crystal at the time of polymerization [1, 2, 3]. At all later times the polymer network was found to have a strong effect on the alignment of the liquid crystal. This was seen in the modification of the nematic ordering, as observed by measurements of the optical birefringence, as a function of temperature [4]. The order parameter appeared to be enhanced when the liquid crystal was in the isotropic phase, but diminished when it was in the nematic phase. In a study aimed at understanding the microscopic processes involved, we have modeled this system theoretically. We do this by taking the usual mean-field model of nematic ordering and generalizing it to include the effective field generated by the polymer. Our goal in this work is to develop an understanding of the effects of the various parameters associated with the presence of polymer on the ordering of the liquid crystal material.