In the movie "Titanic," what song is the string quartet playing when...?

Question

I'd like to know what song the string quartet plays when the ship is sinking. I know they played quite a few songs, but I mean the one after one of the men said that he thought they were about done. Then, the other three left and he started playing. Then, the other three joined back in. It was a solemn song. It occurred as the Captain was going to the steering wheel, slowly being submerged with water. It seemed like the song was being played specifically for the Captain.

That is the song I would like to know the name to.

Answer 1

They are playing Nearer My God to Thee.

Answer 2

In the movie, the quartet played "Nearer My God to Thee" but in real life the British hymn "Autumn" was played by the orchestra.

Regards,

Dan