There have been rumors that The Secret Sisters would be contributing to the soundtrack, which they recently confirmed in NY Mag:
We were in Australia when the tornadoes came through Alabama (in April 2011). It was so tough for us to be away from home when all that was going on. There, Lydia sat down and wrote a song stemming from that sadness, “Tomorrow Will Be Kinder.” Even though it came from a really dark circumstance, it is about looking forward to better days. Just recently, we found out that song is going to be on “The Hunger Games” soundtrack. We recorded that song with T Bone in New York.
Now a performance of the song has surfaced. Here's an audio clip of them performing it live:
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What do you think of the song? Any guesses as to where it might appear in the movie?