Borderline by Ray McKinley And His Orchestra released in 1955 on Savoy
Ray McKinley (June 18, 1910 – May 7, 1995) was an American jazz drummer, singer, and bandleader. He played drums and later led the Major Glenn Miller Army Air Forces Orchestra in Europe. He also led the new Glenn Miller Orchestra in 1956. - Wikipedia
Top swing tunes featuring:
Alto Saxophone – Ray Beller
Arranged By – Eddie Sauter
Clarinet – Peanuts Hucko
Drums – Ray McKinley
Guitar – Mundell Lowe
Piano – Lou Stein
Tenor Saxophone – Bud Freeman
Trombone – Vern Friley
Trumpet – Charles Genduso, Nick Travis, Rusty Dedrick
Hangover Square is by Eddie Sauter, so it is not, I believe, from the 1945 adaptation of the Patrick Hamilton novel but instead only shares the title.

