Not only Sam was willing, but Merry and Pippin, Aragorn, and all those at the Black Gate, who didn't even know Frodo and Sam but fought and died for them in the hope they would make it to Mount Doom to destroy the Ring and save them all.
This is my favorite part in the Lord of the Ring movies! I sat down and played and paused it to write it down when they first came out! The good in the world is worth fighting for! Amazing quote from an amazing trilogy!
"I wish it need not have happened in my time," said Frodo. "So do I," said Gandalf, "and so do all who live to see such times. But that is not for them to decide. All we have to do is decide what to do with the time that is given us.