Here are a few more songs from that David Rawlings Machine show:
I Pity The Poor Immigrant :
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A Dylan cover.
To Be Young :
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This is a song David Rawlings wrote with Ryan Adams. It appearns on Adams' first solo record, "Heartbreaker" (as does the short track "Argument with David Rawlings Concerning Morrissey").
Elvis Presley Blues :
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Gillian Welsh usually sings this. But, IIRC, David Rawlings said he was the original singer.