According to a post by Ger Rijff on the FECC board he has been reliably informed that the Follow That Dream label has acquired an audio recording of Elvis' final performance on the Louisiana Hayride from December 15, 1956. The only other information currently available is that Elvis' performance of Paralyzed is very audible.
There is no more information available at this time, but here is the song line-up from the concert.
01. Heartbreak Hotel
02. Long Tall Sally
03. I Was The One
04. Love Me Tender
05. Don't Be Cruel
06. Love Me
07. I Got A Woman
08. When My Blue Moon Turns To Gold Again
10. Hound Dog.
Update April 13, 2006: Ernst Jorgensen confirmed the news to us. On the release of the material (BMG, FTD or SUN project) he said: "Nothing is decided at this time".
Source: Various / Updated: Apr 13, 2006