Mrs. Stark (Catelyn if you're nasty, or if you can remember her name on the first try) thinks this is a terrible idea. She doesn't trust Lord Greyjoy, who had a rebellion that Ned put down. She wants him to trade Jaime for the girls. Robb doesn't want to. Catelyn wants to go home, because she hasn't seen Bran or Rickon in months. Remember Rickon? Not if you weren't watching the first season very closely, you don't. Robb tells her Ser Rodrik is watching over the boys, and she has to ride south to negotiate with Renly Baratheon and his hundred thousand men because, "If Renly sides with us, we'll outnumber them two to one." He promises they'll get the girls back and go home for good. Okay, she'll ride at first light. That's dawn. About 6:00 AM. Just call it that.
Joffrey observes people working in the throne room. He tells Cersei he's getting the place remodeled. She tells him Arya's missing and they need her as a bargaining chip. He thinks the Starks put too much value on their women. "A king does not ask. He comands! My grandfather's stupidity on the field of battle..." blah blah blah. You get the idea. He doesn't care as much about getting back Jaime as she does. He asks about the disgusting claim he's heard about his parentage. He also mentions that he does, in fact, have the throne. It's true. It's that iron pointy thing over there. He's got home field advantage. Anyway, his curiosity isn't so much about his own lineage as it is about how Robert got bored with Cersei and was running around with all the whores in Westeros. Then he asks her how many bastards are running around out there, and she smacks him across the face. [Note: Immortalized here, FYI. -- Rachel.] He tells her it's punishable by death, and she'll never do it again. "Never. That will be all, mother." Now she's dismissed. I'm sure there will be no repercussion for this!