I am looking for the sheet music for the song Sentimental Moments,
music by Frederick Hollander and Lyrics by Ralph Freed. This song is
used in the original film of We're No Angels, 1954.

Couldn't resist.. I like researching.

'Sentimental Moments' seem to no longer be published as sheet music.

HOWEVER

Kent State University Library (http://www.library.kent.edu) had the
sheet music for this piece donated to their 'special archives and
collections' department. Although you can not take special colection
pieces home, you can photocopy them in the centre. If, like me, you
live no where near Ohio (I'm in South-East-Asia), I'd suggest
contacting the staff and asking about the people who donated it.

Good luck with the search!