The Frog Rose Illegal Gamblery is a swamp riverboat where Frog Rose keeps those idebted to her as dealers for eternity in "The Pink Sphinx Holds Her Hearts on the Turn".
In an effort to hide her thoughts from the kids, Roger talks Francine into taking up poker, where, with his coaching, she becomes successful. When pressed on her new lifestyle, Francine becomes determined to win at a very high stakes poker match and get Frog Rose to sponsor her. To convince her to give up, the kids also enter the tournament, with Steve eventually beating Francine.
For losing, Francine finds herself forced to work for eternity for Rose. Roger and the kids attempt to rescue her by putting themselves up as stakes in a game between Francine and Rose. Francine, who had been in a deep catatonic state, reveals that she had been hiding her thoughts and manages to bluff her way to victory against Rose.