Who is the classical composer of the music at the end of this video?

I would like to know who the composer is of the music playing in the background of this baby video at the very end: http://video.google.com/videoplay?docid=...

I've been searching for the composer for a few years now and I haven't found it. Please Help!

I think Chopin "Nocturne in E flat"

I believe this is Chopin's Nocturne in E flat major Op.9 No.2.
Ashkenazy's version is wonderful.