Our objective is to model the full-wave response of ice shelves, including ocean compressibility, ice elasticity, and gravity. Our model is a 2D vertical cross-section of the ice shelf and sub-shelf ocean cavity, accounting for draft, coupled to an ocean water region. The ice and ocean obey the elastic and acoustic wave equations, respectively, and gravity is added using an extension of the Lotto & Dunham (2015) methodology. The ice shelf is forced by an incident surface gravity wave in the open water. We quantify the frequency-dependent excitation of flexural gravity and extensional Lamb waves and provide a quantitative theory for extensional Lamb wave generation by the horizontal force imparted by pressure changes on the vertical ice shelf edge exerted by gravity waves. This data is used in the study "Ocean Surface Gravity Wave Excitation of Flexural Gravity and Extensional Lamb Waves in Ice Shelves" to be submitted to Seismica.