Patricia Cullen composed music for the animated series Star Wars: Ewoks and Star Wars: Droids. Cullen is the only woman I am aware of who has composed music for an official Lucasfilm production. (Christy Carew composed the music for the docu-series Looking for Leia).
Cullen also scored the music for several Care Bears movies in the 1980s as well as 46 episodes of the series Care Bears. Sadly Cullen died in 1991 at the young age of 40.
Here’s an episode of Star Wars: Droids that Cullen scored, “The White Witch.”
And the Star Wars: Ewoks episode “Asha.”