According to The Boston Globe Aerosmith's hit song "I Dont Want To Miss a Thing" was inspired by the one and only Barbara Streisand.
" I Don't Want To Miss A Thing" was written by songwriter Diane Warren who also wrote many other famous tunes such as
"Nothings Going To Stop Us Now" by Starship
"Because You Loved Me" Celine Dion
" Music Of My Heart" Gloria Estefan and N'sync
and many many others!
Diane Warren stated in a recent interview that she was inspired by an interview she saw that Barbra Streisand gave to 20/20 in 1997 about her relationship with her Fiance at the time Actor James Brolin.
You can read more about it HERE