I have been looking for this since forever. It was posted by Porko_Rosso on ffshrine before (http://forums.ffshrine.org/f92/my-soundtrack-collection-update-65177/35.html#post1418036), but the links are dead already. Googled for it too but all links are dead/no seeds. I don't mind a lossy copy, I just want them!!

Front cover picture:
Back cover picture:

Country: United States
Format: CD
Release Date: 16-Aug-2005
UPN: 8-2876-71411-2-1

This EP was limited to 5000 copies and only available through independent music stores in the US.

1. Same in Any Lingo (01:30) - Nancy Wilson
2. Kentucky Rain (Alternate Take 9) (03:35) - Elvis Presley
3. I Will Be There When You Die (Live) (04:00) - My Morning Jacket
4. Long Ride Home (Demo) (03:27) - Patty Griffin
5. Blue Moon of Kentucky (02:07) - Bill Monroe & His Bluegrass Boys
6. Kentucky Woman (03:50) - Sun Kil Moon

Total Duration: 00:18:29

Really hope someone on ffshrine has it!

Well, since you asked so nicely... 6 years ago:

https://hotlink.cc/pyw9yk8uho4j/ElizabethtownSongsTheBrownHotel.zip.html

Not my link, but just uploaded. Enjoy!