The Window on the West - Faramir returns from battle and questions Frodo more, especially about Isildur's Bane. Frodo tells him that Isildur's Bane, if it belongs to anyone, belongs to Aragornas the heir of Elendil. This seems to be significant news to Faramir.
Then Faramir asks Frodo if he considers Boromir a friend, and would be sad to find out he was dead. Frodo says he would be sad, but then realizes Faramir is telling him Boromir is dead. Faramir says Boromir was his brother, and he believes him to be dead because of a strange dream he had in which the corpse of Boromir floated down the river in a strange boat. In addition, he'd heard the horn of Boromir sounding several days before, and the pieces of it had washed up on the bank of the Entwash River. Frodo realizes all of this must have happened just after he left the Fellowship.
Faramir, having curtailed his curiosity about Isildur's Bane so as not to speak more of it in front of his Men, takes Frodo aside and presses him for more information. He reveals he and Boromir are of the line of Stewards of Gondor—leaders who rule the land in the absence of a king. Boromir, for all his virtues, was ambitious, and may have resented that Aragorn might claim the kingship. Faramir, however, tells them he does not share this ambition.
Frodo and Sam are led to the place where Faramir's Men live. They must go blindfolded, because it is the law that any outsider who knows the way must be killed. But Gollum sneaks behind, following them.
Later, after dinner, Faramir, Frodo, and Sam again discuss matters, and Sam accidentally divulges that Isildur's Bane is the One Ring, and that Boromir had tried to take it by force. Frodo and Sam, afraid Faramir might try to take the Ring as well, get ready to defend themselves. But Faramir "show[s] his quality" by refusing to take the Ring, and by pledging to help Frodo and Sam in any way he can. Frodo is relieved.