The board positions, as well as James and Becky’s respective moves, are all possible in a standard game of Shatranj. Props to Chessvariants.org for supplying the info I needed to construct the state of a game in progress.
For the curious, a close-up of the board from panel 2 is available in the SC Facebook page’s photo album.
FUN FACT: Sketch Comedy will be updated on both Thanksgiving and Black Friday. Be sure to check it on your smartphone at the dinner table while all your uncles are talking about sports.