[the phantom]

Here's some guesses on what Galadriel offered and how the members of the Fellowhip responded. I'll start with the serious ones.

Galadriel: Boromir, Captain of the armies of Gondor, why have you not taken your chance?
Boromir: What chance?
Galadriel: You have the opportunity to garauntee Gondor's victory over Sauron. It's been in front of you since the Council.
Boromir: The Ring.
Galadriel: Yes, the Ring. It is powerful. You are already a great leader of men. Imagine yourself with the Ring lending you strength. None could stand before you, not even Sauron.
Boromir: But Elrond, and Gandalf... they said that it was unwise to use this thing- Isildur's Bane. It has already slain Is...
Galadriel: It slipped from Isildur's finger. That's what caused his death. The lack of it. Had it remained with him, it never would've been called his "bane".
Boromir: But still, the wise ones at the Council said that it was perilous to use.
Galadriel: How would they know? Who has actually used the Ring? Isildur? He was slain not long after the Ring came to him. Gollum? The Ring did not twist him, he was already capable of great evil; the Ring merely unlocked his potential. What about Frodo? He is certainly not corrupt. He is a kind, polite hobbit, with an elvish air about him, and he has possessed this thing for quite a long while. It has not corrupted him. And if not him, how could it possibly corrupt you- a strong-willed, true-hearted man of Gondor?
Boromir: I... I can't just take it. Frodo... he... it's his now.
Galadriel: It only came to him by chance. It could've come to you instead. Don't you think that it should have?
Boromir: I...I... don't know. Maybe I... but, I can't take it from him.
Galadriel: If you don't, then the Ring will be taken right into Sauron's hands. How can anyone hope to enter Mordor unmarked and march past thousands of orcs to the Cracks of Doom? It is folly.
Boromir: It is. But... I can't do anything about that... not now.

Galadriel: Aragorn, you can run away with Arwen into the wilderness and live out your days together in happiness.
Aragorn: And forsake the people of Middle-Earth?
Galadriel: What do you owe them? You've already spent many years laboring for them.
Aragorn: And all in vain if this quest fails. Should not the heir to the throne of men be the first to resist Sauron and the last to abandon the fight? I will do my part in defeating Sauron, or die trying.
Galadriel: Your story and Arwen's- it is so similar to that of Beren and Luthien. Your situation is the same as his. You are faced with a task that is entirely impossible, and yet you rush on, like Beren, towards the impossible instead of allowing yourself rest and peace.
Aragorn: But Beren completed his "impossible" mission.
Galadriel: I only hope you will be as fortunate.
Aragorn: Even if I am not, it is still the right choice.

Galadriel: Frodo, you never should've been placed in this position. This matter is beyond one so small. Go back to your beloved Shire.
Frodo: I'd love to, but... I'd be letting Gandalf, and everyone, down. I just think this is what I'm supposed to do.

Galadriel: Sam, you've been away for too long. You should go back and feast on fried fish and chips. You couldn't say no to that.
Sam: Yes, yes we could. Keep nasssty chips.

Galadriel: Pippin, why are you here? Elrond wasn't too comfortable with letting you tag along. You're probably going to look into a magic seeing stone or something and doom the entire Fellowship. Why don't you head back to the Shire, kick back at the Green Dragon, and order a pint of beer.
Pippin: It comes in pints?

Galadriel: Merry, this quest is very dangerous. You might be mistaken for Frodo and get carried off by orcs, or get called "small rag-tag" by a mean old wizard. Go back to the Shire where it's safe.
Merry: Oh, I suppose you think Witch Kings just kill themselves? I've gotta job to do.

Galadriel: Gimli, if you leave the Fellowship, I'll give you three of my beautiful hairs.
Gimli: What happens if I don't leave?
Galadriel: Um, probably the same thing.
Gimli: Then I'm staying. I'll probably run into more orcs this way. And you did mean h-a-i-r-s, right- not h-a-r-e-s?

Galadriel: Legolas, you don't have to stay with the rest of the group. You can go back to Mirkwood and run around and climb trees and sing instead. Doesn't that sound like fun?
Legolas: Nice offer- till the singing part. I've had it with the Tra-la-la song- we sing it all the time! Worst tune ever to come out of Rivendell. I'd rather stay here with the dwarf than go back to that.