Both tracks were actually recorded by Louis Armstrong and His Hot Five.
Side A "The Last Time": matrix 81317-A, recorded Chicago, September 5, 1923.
Side B "Ory's Creole Trombone": matrix 81310-D, recorded Chicago, September 1, 1923.
Images
Number:2362208 THUMBNAIL Uploaded By:xiphophilos● Description: Parlophone R 2792 A Side Label (T tax code = 21 Oct. 1940 – 14 Apr. 1942)
Number:2362210 Uploaded By:xiphophilos● Description: Parlophone R 2792 B Side Label (T tax code = 21 Oct. 1940 – 14 Apr. 1942)
Number:2381924 Uploaded By:Redpunk SUBS● Description: Parlophone R 2792 A Side Label (tax code ST = 10 Apr. 1946 – 12 Nov. 1947 repress)
Number:2381925 Uploaded By:Redpunk SUBS● Description: Parlophone R 2792 B Side Label (tax code ST = 10 Apr. 1946 – 12 Nov. 1947 repress)
Number:1260429 Uploaded By:Paul-Hughes Description: Parlophone R 2792 A Side Label (DTP tax code = 30 Dec. 1950 - 15 Apr. 1953 repress)
Number:1260430 Uploaded By:Paul-Hughes Description: Parlophone R 2792 B Side Label (DTP tax code = 30 Dec. 1950 - 15 Apr. 1953 repress)
Number:434365 Uploaded By:xiphophilos● Description: Parlophone R 2792 A Side Label (RT tax code with long rim text = 28 Oct. 1955 - 30 May 1957 repress)
Number:434366 Uploaded By:xiphophilos● Description: Parlophone R 2792 B Side Label (RT tax code with long rim text = 28 Oct. 1955 - 30 May 1957 repress)
My copy has a DT tax code, with a P underneath, and slightly to the left of the T. That dates it to 1942. [That means your copy has a DTP tax code = 30 Dec. 1950 - 15 Apr. 1953. Mod.]