S1E03:  Tabula Rasa

Leavin On Your Mind - Patsy Cline

This is playing on the truck radio when Ray is driving "Annie" (Kate) to the bus station, or so he says

LYRICS LINK:  cowboylyrics.com

Wash Away - Joe Purdy

This is playing during the closing scene when Hurley is listening to his headphones. Jin is looking over at Sun as she lay asleep, touching her hair. Boone gives sunglasses to Shannon. Sayid tosses an apple to Sawyer and Charlie is writing LATE on his finger tapes. Claire is sitting on the beach. Michael is bringing Vincent to Walt with Locke looking on - nice song fades to creepy music

LYRICS LINK:  Leoslyrics.com