Both sides are transcriptions from piano rolls.
A Side: According to DESS/Björn Englund: It's not Duke Ellington who plays, but Lawrence Cook (1899-1976) in August 1926 (for QRS).
Source: https://ellington.se/2016/12/21/jig-walk/
B Side: Possible recording year 1922.
Source: https://archive.org/details/78_the-mess-around-a-wholetone-study_fats-waller_gbia0001314b