A google search using new fangled tango broght up plenty of hits. One may have the lyrics.
Here's a CD ref
1. A New Fangled Tango
Performer: Lena Horne with the Nat Brandwynne Orchestra, conductor Lennie Hayton
Composer: Karr/Dubey
Publisher: RCA Corporation
CD Title: Lena Horne at the Waldorf Astoria
Band: LP S2 T 4
Label: RCA
Rec No: INTS 5053