Today's Piano Puzzler

This week's contestant is Jean Bostrum from Zimmerman, MN.  It's a very lovely piece, but I didn't get either part.  The guest did guess the hidden song, but even when pianist Bruce Adolph played the number again, I still had a hard time picking it out., except for a few notes.  It blends impeccably with a particular melody by the hidden composer  But since she got it, obviously it's guessable.