The lyrics and music for "The Rose In Her Hair" lyrics by Al Dubin; Music by Harry Warren, are available in a vintage paperback book titled, "Famous Hits of Famous Stars - A Souvenir Album" sold only in Australia and New Zealand, p. 24 (17932-4;9084).

Copyright MCMXXXV by M. Witmark & Sons, N. Y. Publisher and Copyright owner for the Western Hemisphere. All rights for all other countries owned by Music Publishers Holding Corporation. ... For Australia and New Zealand - CHAPPELL & CO. LTD., National Building, Pitt Street, Sydney (Incorporated in Great Britain).

I'll provide the lyrics provided you contact Witmark & Sons, N. Y or Chappell & Co Limited at 250 Pitt St., Sydney, Australia, if they are still located there.

"Love is a rose and it grows like a rose.
I found a rose nestled in someone's hair
Sweet was the rose and never a made was so fair.
In her eyes there was moonlight, and a rose in her hair,
In my arms there was noone,
So I just put her there -
On her lips was a promise, in my heart was a pray'r,
When I finally went, I went home with the scent
    of the rose in her hair.

In her eyes there was ... [repeat the song].

The song is from "Broadway Gondolier" and Felix Knight sings it beautifully in the following videoclip:

https://www.youtube.com/watch?v=aDES2nI7IuQ titled Felix Knight - Rose in Her Hair

Hope this information is the answer you have been looking for about the song, if you have not already found it.

Josephine.