This song is heard in the Welcome Center.

From the BioShock Infinite credits:
Music and lyrics - Ada R. Habershon, Charles H. Gabriel
Arrangement - Marc Lacuesta
Vocal Soloist - Maureen Murphy
Produced by - Jim Bonney, Marc Lacuesta

This song appears as 4 different versions in the BioShock Infinite audio files:
mus_tc_willTheCircle_choral_01 - with soloist
mus_tc_willTheCircle_choral_02 - no soloist (medium echo)
mus_tc_willTheCircle_choral_03 - no soloist (strong echo)
CombinedStreaming_SFX-pck-548 - riverside version (no echo)

The audio in this video was extracted directly from the BioShock Infinite game files, and is presumably copyright by 2K Games.