Heat transfer modeling was performed in order to study a natural solar heating system. Simulation of the system was obtained by writing instantaneous energy balance equations for the various components. A thermal-network provided the means for systematically accounting for each of the energy balances. The resulting balances were solved using time varying inputs, such as solar gain and ambient temperature, and the initial temperatures of the components. Parametric heat transfer calculations were performed. Results are discussed which illustrate several effects, including variation of thermal capacity of the storage wall, installation of night insulation, installation of a thermally controlled fan between the sunspace and room, and variation of the width of the sunspace.