This is one of many examples of name recycling on the show. It is possible that Congressman Ritchie was related to GovernorRobert Ritchie of Florida, but unlikely that they are the same person, as Ritchie would have been Governor at the time and had not met Bartlet by this point. The dialogue suggests that the congressmen are Democrats.
↑"You're still going to hear from Stadler and Ross." "Probably from McCovey, Lester, Brock...probably Klesko, Trask..." "Ritchie." from Mandatory Minimums