Help me place this song from "The Fabulous Baker Boys"

Near the end of The Fabulous Baker Boys, the brothers are sitting at a pair of pianos reminiscing about their career, such as it was, and then they sing and play a song with lyrics that go something like “. . . lips like strawberry wine, you’re sixteen, you’re beautiful, and you’re mine!” Can anybody place this song? Year, title and artist?

“You’re Sixteen (You’re Beautiful And You’re Mine)”
Performed by Jeff Bridges & Beau Bridges
Written by Robert Sherman & Richard Sherman

…originally performed by: Johnny Burnette, 1960

Thanx, guys!