Joseph Perkins Greene (April 19, 1915 – June 16, 1986) was an American songwriter, best known for "Across the Alley from the Alamo", "And Her Tears Flowed Like Wine" (1944), and "Don't Let the Sun Catch You Cryin'" (1946).

[1] In 1952 Greene was working with pianist and arranger Eddie Beal, who had accompanied Herb Jeffries and Toni Harper, on new music for the Kenton "aggregation".

[4] June Christy and Chris Connor, vocalists with Kenton's band, performed hit songs by Greene such as "Across the Alley from the Alamo", "And Her Tears Flowed Like Wine" and "Don't Let the Sun Catch You Cryin'".

[1] Greene's songs were recorded by artists such as Ella Fitzgerald, Carmen McRae, Julie London, Fats Waller, Ray Charles and Dinah Washington.

It has been described as "a bizarre concoction of proto-psychedelic jams ("The Boozer"), beat jazz ("The Bar Fly"), and experimental percussive abstractions ("Theme" and "Walk to Hell").