The impression is that Saint-Saens anticipated the popularity of "The Carnival of the Animals" and to avoid embarrassment, only allowed it to be published after his death in 1921. It is originally scored for just 11 players including 2 pianos but is sometimes played by a small orchestra. "The Elephant" is written for a Double Bass and 1 piano, depicting a comic impression of a lumbering elephant although a Cello or a Bassoon are alternative instruments which can play the Double Bass part. The score and parts can be downloaded using the links in the left-hand menu, as can Midi & MP3 versions of the same piece. On mfiles we also have sheet music for an arrangement of "The Elephant" for Piano Solo, and The Swan which is also from "Carnival of the Animals" and scored for Cello and 2 Pianos. The full work of 14 pieces in the original arrangement for 11 instruments is available from at these links from Sheet Music Plus (US) or The Music Room (UK). On this page you can play the animation video, play the mp3 file and see the sheet music before downloading.
Here is a video of Saint-Saens' The Elephant from Carnival of the Animals:
The audio controls below allow you to play the mp3 version of Saint-Saens' The Elephant from Carnival of the Animals or you can download the MP3 file. You can also download the midi version of Saint-Saens' The Elephant from Carnival of the Animals.
The image below is the first page of the sheet music, and here you can download the full sheet music for Saint-Saens' The Elephant from Carnival of the Animals in PDF format.