Released in 1948 in the era of great show-card lettering.
Compare your first image with this style sample for lettering artists:

There are quite a few digitized brush script fonts but none is a perfect match. The closest I was able to find to the tone and general feel of your first image is Signalist by Mike Melvas:
http://www.myfonts.com/fonts/mika-melvas/signalist/
There are also two fairly close fonts from Filmotype:
Filmotype Lakeside:
http://www.myfonts.com/fonts/filmotype/lakeside/
and
Filmotype Lasalle:
http://www.myfonts.com/fonts/filmotype/lasalle/
Lasalle is also available from Scangraphic and Elsner+Flake.
BTW the lettering artists for Unfaithfully Yours were busy. They also produced a third version of the movie title:

Don