Morrow was born in Houston, Texas in 1969. She studied the clarinet before taking up the trombone at the age of 12. She began playing jazz at the age of 17 in high school; after graduating from Ohio University, she began to play in small jazz formations.
Morrow was the first female instrumentalist to become a member of Ray Charles's orchestra, joining in 1995. She then worked with musicians such as Bootsy Collins, Fred Wesley, Clyde Stubblefield, Dee Dee Bridgewater, James Spaulding, David Murray, Rhoda Scott, Pee Wee Ellis, and Ricky Ford. Morrow also toured with Dr. John as a bandleader, producer, arranger and conductor for several years.
As a leader
- Green Light 2000 (RDC Records)
- Standards and Others Stories ... 2002 (Blue Cobra). With Jesse Davis, David Murray and Anne Ducros
- Sarah Morrow and the American All-Stars in Paris 2005 (O + Music). With Rhoda Scott and Hal Singer
- Elektric Air September 2007. With Robert Glasper, Derrick Hodges, Chris Dave and Jahi Sundance.
With Dr. John
- Ske-Dat-De-Dat: The Spirit of Satch 2014. With Dr. John, Bonnie Raitt, more.
- The Musical Mojo of Dr. John: Celebrating Mac & His Music 2016. With Dr. John.
As a sidewoman
- Tony Monaco 2001 (Summit Records)
- Anne Ducros 2002 (Dreyfus)
- Katy Roberts 2002 (Autoproduit)
- The Jungle Book  [Original Motion Picture Soundtrack] 2017.
- Fricke, David (August 2001). "Trombonist Sarah Morrow Crosses A Barrier Honing In on Male Turf". The New York Times. Retrieved August 15, 2001.
- Greenlight review, Jazz Times
- Sarah Morrow biography, All About Jazz
- "Dr. John and Sarah Morrow Interview". L.A. Record.
- BackTalk: Dr. John, Keys-a-Janglin’. OffBeat, February 1, 2013.
- Biese, Alex (May 2015). "Dr. John, Louis Armstrong, Springsteen, McCartney". App.com (Asbury Park Press). Retrieved May 18, 2015.
- "Artist Sarah Morrow: Music Credits". AllMusic.com. May 2018. Retrieved May 1, 2018.