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.[1]

Morrow was the first female instrumentalist to become a member of Ray Charles's orchestra, joining in 1995.[1] 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.[1][2][3] Morrow also toured with Dr. John as a bandleader, producer, arranger and conductor for several years.[4][5][6]

orrow's 2016 album Elektrik Air featured pianist Robert Glasper, drummer Chris “Daddy” Dave, bassist Derrick Hodge, and DJ Jahi Sundance.[7] Ske-Dat-De-Dat: The Spirit of Satch was produced and arranged by Sarah Morrow and Dr. John,[6] and featured Bonnie Raitt, Arturo Sandoval, Anthony Hamilton, and The Blind Boys of Alabama.[7]