does anyone know the title of the song that plays during that montage, the piano piece played by Carmine Coppola? I'm pretty sure it's one of the following...

"The Bells Of St. Mary's"
A.E. Adams, Douglas Furber

"All Of My Life"
Written by Irving Berlin

"Mona Lisa"
Lyrics by Jay Livingston
Composed by Ray Evans

"Non so più"
(Cherubino's Aria)
from opera "Le nozze di Figaro" Act I, Scene V
by Wolfgang Amadeus Mozart

"Manhattan Serenade"
Written by Louis Alter
Performed by Tommy Dorsey and his Orchestra

... again in case its not clear, the piano piece being played by the old man during the montage following the Sollozzo killing, where Willie Cicci leans over the piano and watches. It'd be great if someone would let me know. thanks