The original is by Albert Lee/ Love, but this is the Mazzy Star version from
`So Tonight that I Might See':

Verse:

GG Piano Chord 
          A5A5 Piano Chord 
               CC Piano Chord 

This is my five-string serenade

GG Piano Chord 
           A5A5 Piano Chord 
        CC Piano Chord 

Beneath the waters at play

GG Piano Chord 
             A5A5 Piano Chord 
          CC Piano Chord 

And while I'm playing for you

GG Piano Chord 
                A5A5 Piano Chord 
            CC Piano Chord 

It could (might) be raining there too

Chorus:

CC Piano Chord 
                 DD Piano Chord 

And on my easel I drew

CC Piano Chord 
                       DD Piano Chord 

While I was thinking of you

CC Piano Chord 
                     DD Piano Chord 

And on the roof of my head

CC Piano Chord 
                           DD Piano Chord 

In came my five-string serenade

G          C                G(strum)
End: This is my five-string serenade

The song follows the pattern:   |    A5:
|   EE Piano Chord 
 0
Verse                           |   A 0
Verse                           |   D 2
Chorus                          |   G 2
Verse                           |   B 0
Chorus                          |   E x
End                             |

Picking:

Picking is the same for each line of the verse:

GG Piano Chord 
         A5A5 Piano Chord 
    CC Piano Chord 

E---------------------------------
B--------------------------1------
G----------0-----0-----0-----0---0
D--------0-----2-----2---2-----2--
A------2-----0-----3--------------
E--0h3----------------------------

The first three lines of the chorus are:
CC Piano Chord 
               DD Piano Chord 

E---------------------------2------
B-----------1-----------3-----3---0
G-------0-----0---0---2---2-----2--
D-----2---2-----2---0--------------
A---3------------------------------
E----------------------------------

Then the final line of the chorus goes like this:

CC Piano Chord 
                 DD Piano Chord 

E----------------------------2h3p2--------------2h3p2------
B----------1-------------3---------3--------3---------3--0-
G------0-----0---0-----2---2---------2----2---2------------
D----2---2-----2-----0------------------0------------------
A--3-------------------------------------------------------
E----------------------------------------------------------

And then back to the verse.

Hope that's clear - it's really fairly simple.

Dom