...and my guess is (based on GRRM's past writings) that if you don't actually see them dead (and heck, even if you do) then they're not really dead. So I'm presuming that whatever the word was said by Brienne is something that saved her life.
I think that Mark is correct in thinking that it was a name that she said, but I doubt the name was Jaime's. Nor do I think she was calling out to somebody for help. My hunch is that she would have had to say something that would make the undead Catelyn supsend the hanging. I believe that the name Brienne called out was "Arya."
Ah, but Arya is presumed dead, and Brienne is one of a few people left who knows where she was last seen, and with whom. Still, it's just a wild guess. I fully expect to be surprised by the acutal answer.
Since Brienne has been searching for Sansa, perhaps she calls out her name. It doesn't seem like she would, since she is dying, but Stoneheart would certainly respond to that name, probably stopping the hanging.
I think it must have been a name. Which word could move Stoneheart's petrified heart: either the name of one of her lost children or a word of ultimate revenge. Brienne would hardly move Catelyn Stark by croaking "Frey" or "Bolton" or even "Cersei" - Brienne would have no better chances to lay hands on those far away lords and ladies than the outlaws themselves. "Stannis" would not save her, either. Cat only feared him as an implacable enemy of her son Rob. No longer. Stannis never gave her a reason for seeking revenge. "Theon"? He is in the hands of the bastard of Bolton. Does Brienne even know about him? "Ice": Would she even know that her sword Oathkeeper has been forged from Ned Stark's greatsword? Jaime did not tell her so. So it must be one of the Stark children whose name she calls. She does not know about Bran's fate, nor that of Rickon. How would Brienne know that Sansa is now in the Vale? So only Arya remains - who had last been seen when she and the Hound killed the Tickler and his companions at the inn. Would this hearsay move Stoneheart's heart, though? On the other hand, I don't see an alternative to "Arya". She may croak "Hound". My guess is that Sandor Clegane survived - and now works as the limping undertaker on the island of the brethren near the river bank of the Trident - the same island where Brienne saw his unruly stallion Stranger. But would she make such a wild guess while the noose is already constricting her throat?
I don't think she screamed a name at all, I think the word she shouts is "YES." It makes sense; she was unwilling to do this dishonorable thing, and now they are killing her and her interim squire. So not to save her own life, but rather to save Pod's, she is willing to bend her honor. She screams "YES," so they will spare her and she has a moral dilemma on her hands.
"YES" - she vows to slay the kingslayer. Good idea: It does not really fit her character, but the dilemma would lend her rather one-dimensional personality some more color. Now she would face a similar dilemma as the former Kingslayer: to kill a man who trusts her? It is likely, because there are no other loose ends that would connect her to Sansa, Arya or any other protagonist. She never met any of them.
I agree that she chooses to do this, though I think she says the word, "sword". I think watching the kid struggling at the end of the rope would force her to do this and justify/rationalize it by having sworn duty to Stark which she must fulfill.
I am 80% sure that the word she shouts is either "Yes" or "Yield". Something to indicate her defeat and acceptance of Cat's request. I don't think she will really hurt Jaime, though. I think she will just continue on her quest to find the Stark girls. I think the comment just before about it hurting her is refering to having to betray her oath to Jaime, not the physical pain.
I dont think the word she says matters. Stoneheart gives her the choice... the sword, or the noose... she's in the noose, sees poor lil pod dying, and agrees to hack off Jaime's head (or whatever). This is the largest moral dillemma, because Jaime is starting to go good. Oh and um, btw, when Brienne encounters Stoneheart, Stoneheart is examining the bronze sword crown (the one Jaime tells the Frey Heir to leave behind when he goes). So, either he leaves the crown behind when he leaves to go back to the Twins, in which case, maybe Tom o'Sevens pilfers it, or he takes it with him, and the outlaws pilfer it from his strung-up corpse. Either way, they know where Jaime is.
Brienne the Beauty, Maid of Tarth is as good as her word, if she agrees to kill Jaime, she's gonna do it. I do not think that killing Jaime directly contradicts her oath to him. He only bound her to find and protect Sansa and Arya.
She must call out Arya's name. You guys have to pay attention to the personalities Martin is crafting for these people. If there is one thing we know about Catelyn, she's willing to do anything to protect her children--irritatingly, it drives her every move, including some bad decisions. We also know that Brienne is stubborn, and will fall in love with anyone who doesn't treat her like crap. Agreeing to kill Jaime is thus doubly prohibited, because it violates her sense of honor and she's falling for him.
Catelyn thinks Arya's dead, but Brienne knows differently. At the very least Brienne must realize she can delay her execution with this bit of news.
Brienne doesnt know anything more about Arya than the Brotherhood of the Hollow Hill does... she went with the Hound. That's it. Now, Brienne doesnt know that they know that Arya was with the hound, so maybe she screams "Arya!" but the Brotherhood of the Hollow Hill is like +shrug+ "Old News, Pull Harder!"
What exactly does the Brotherhood know about Arya? Seems to me that none of them knew that Arya was travelling with Clegane. Brienne already told them everything she knew about Sansa, so her best bet to get out of the hanging is to yell "Arya".
There's also the fact that Brienne just met Gendry and figured out who he was. He's the best hope for taking the throne from the Lannisters, which is among Catelyn's goals. I don't know how she would condense that into a single word, but it's a possibility.
I agree. Stoneheart knows as much about Arya as Briene does. The word has to be "sword". Stoneheart asked her to choose: "sword or noose". So by saying "sword" Briene will now be off on the distasteful task of having to kill Jaime (or die trying), who she now respects probably even more than the heartless Catelyn.
jaime actually does tell her that Oathkeeper is reforged from Ice. I think the words were something like, "...so you'll be defending Ned Stark's daugther with Ned Stark's own steel..." Or something to that effect.
The replies in this thread surprise me in how wrong they are, Martin doesn't think in the typical Deus ex machina of a last minute save of execution by calling out a name or anything else. If Brienne were going to accept the offer it would have ended there, with us and her pondering the decision, not needlessly watching her die.
Brienne doesn't say Arya, she doesn't say stop, yes, no, peek-a-boo, or anything the least bit relevant to her life. She dies. If anything, I would venture to guess she calls out Jaime's name because she can't help herself in her attraction towards him. This, if anything, will just make them want her hung more.
In all likelihood Thoros of Myr will revive her after Stoneheart and her troop leave Brienne to rot.