This 1963 release, which was recorded two years earlier, was one of two Duke Ellington tributes that organist Shirley Scott (1934-2002) recorded for the Prestige label.
The bare bones session had Scott backed by just bass (George Tucker) and drums (Mack Simpkins) and the music is a little more sedate than what you'll find on most of the organist's LPs.
To promote Satin Doll to radio DJs Prestige issued a 45 single of the title tune backed with C Jam Blues. Both sides were considerably shortened from the album tracks. From the link below you can grab the 45 edit of C Jam Blues.
C Jam Blues
The Satin Doll album has not been released on CD and its availability as a legal download appears to be limited to the U.K.
From YouTube here's the full album version of the title track.
For another sample of Shirley Scott's work view this post.