We model compound flooding along the Texas coast, a critical issue where flooding is caused by a combination of storm surge and river runoff. An advanced computer model is developed to accurately simulate how these multiple water sources interact. Using simulation data from historical and synthetic storms, we statistically model the frequency of extreme compound flooding. In doing so, a comprehensive geospatial record of compound flooding is compiled, detailing areas along the coast which are at higher risk for compound flooding events. This record provides vital insights to coastal hazard engineers when allocating resources for prediction and mitigation of flooding in the presence of multiple sources.