Still no lyrics, but a bit more information:

MY BROOKLYN LOVE SONG
Words and music by George Tibbles and Ramez ("Ramey") Idriss
Triangle Music Corp., 1947

From the film "If You Knew Susie" (1948)
Sung and danced by Margaret Kerry and Dickie Humphreys

Also sung by Arthur Godfrey on the album "TV Calendar Show/Visit to New York" (2 LPs reissued as one CD) Collectibles Records, 2006.

You can see the cover of the sheet music, but not the whole song, at the web site of the Brooklyn Public Library.