This scene of Catelyn arriving in King’s Landing is a scene I’ve been looking forward to, terrified of, and ultimately exasperated by.
The problem is that Mr. Martin goes from Catelyn’s point of view to a straight exposition dump in one paragraph. I get the feeling, he got around to mapping out King’s Landing after he wrote the first book.
According to the official map, all of the docks are on the river. That means she can’t be as far away as the text says. The text also says they are sailing past the Fishmarket, which is west of the Mudgate. That means there is no way Catelyn would be able to see the Dragon Pit.