Covers album by female artist Please Help!

[whippersnapper]

I heard a really awesome Leonard Cohen covers album but I have no idea who the artist is! The only accompaniment is a piano and the covers I remember hearing were Chelsea Hotel 2, So Long Marianne, and Hallelujah, in this order. Please respond if you have any idea who this might be. Thanks in advance!

[HelenOE]

Regina Spektor covered Chelsea Hotel and Hallelujah, and she plays piano. I can't see where she did So Long Marianne though, and the other two weren't officially released.