"Wake Up Little Susie" does not fade completely out - the volume lowers to almost nothing, but you can hear the band playing until they stop. None of the other iterations of this recording that I have, or have ever heard, feature this anomaly.
Not having heard this particular 78, but based on the statement in Notes, I believe that the version of the A-side described has been released on a 45 on the USA Collectables label # COL. 4022