Well, jazzdisco.com has the following:
Sir Charles Thompson And The Swing Organ (Columbia CL 1364)
Rudy Rutherford, clarinet; Percy France, tenor sax; Sir Charles Thompson, organ; Aaron Bell, bass; J.C. Heard, drums.
Columbia Studios, NYC, released 1959
I Get A Kick Out Of You
Cool And Easy
Robbins' Nest
Lady In Red
April Love
19th Hole
Jumpin' At Basie's
I Wanta Love You
What's New
Oh Me, Oh My
Love Is A Many Splendored Thing
Party Time
** also issued on Columbia CS 8205.
The February 1, 1960 issue of Billboard pictures the album: https://books.google.com/books?id=BR8EAAAAMBAJ&pg=PA39&lpg=PA39&dq=charles+thompson+and+his+swing+organ&source=bl&ots=bAH0oQxUq7&sig=ACfU3U1PtUoTWHBz31qOunCvAqRDT3tuNw&hl=en&sa=X&ved=2ahUKEwiwhs6SpeXjAhXy1FkKHYLeCo44HhDoATAEegQICBAB#v=onepage&q=charles%20thompson%20and%20his%20swing%20organ&f=false
That would certainly support a 1959 recording date. It's unlikely that Columbia would get it out that quickly.