These chords are for the Mary Black version.
If you want to sing along with the even nicer version by Sharon Shannon & Sinead 
O'Connor - capo on 10th fret :)

G                      Am               Bm
Harking is bonnie and there lives my love
 C              G                       C
My heart lies on him and will not remove
G         D             Em                      Bm
It will not remove oh for all that I have done
 C              G                     C
Oh I never will forget my love Anachie
G                  D           Em             Bm
For Anachie Gordon, he's bonnie and he's rough
C           G                 C
He'd entice any woman that ever he saw
G     D              Em                  Bm
He'd entice any woman and so he has done me
C            G                C
Oh I never will forget my love Anachie


G                Am                             Bm
Down came her father and he's standing by the door
 C                    G                         C
Saying Jeannie you're trying the tricks of a whore
 G              D                   Em               Bm
You care nothing for a man who cares so very much for thee
 C              G                     C
You must marry Lord Salton and leave Anachie
 G        D               Em             Bm
For Anachie Gordon, he's barely but a man
 C                   G                          C
Although he may be pretty but where are his lands?
G                    D              Em                       Bm
Oh the Sulton's lands are broad and his towers they run high
 C                     G                      C
You must marry Lord Sulton and leave Anachie

G                   Am                  Bm
With Anachie Gordon I'd beg for my bread
C               G                               C
And before I'll marry Sulton it's gold to my head
G         D             Em                      Bm
With gold to my head and gowns fringed to the knee
 C              G                     C
And I'll die if I don't get me love Anachie
G                  D           Em             Bm
And you that are my parents to church you may me bring
C                    G                 C
But unto Lord Sulton I'll never bear a son
G         D              Em                  Bm
To a son or a daughter, I'll never bow my knee
C                      G                      C
And I'll die if I don't get me love  Anachie


G                        Am                             Bm
Jeannie was married and from church she was brought home
 C                   G                          C
And when she and her maidens so merry should have been
 G              D              Em                Bm
When she and her maidens so merry should have been
C               G                     C
She went into her chambers she cried all alone
G                  A                    Bm
Come to bed now Jeannie me honey and my sweet
C                     G                         C
For to style you my mistress it would be so sweet
G               D          Em                Bm
Be it mistress or Jeannie it's all the same to me
C                      G             C
But in your bed Lord Sulton I never will lie

G                D               Em             Bm
And down came her father and he's spoken with reknown
C          G                            D              G
Saying you that are her maidens go loosen off her gowns
G                  D               Em             Bm
But she fell down to the floor so close down by his knee
C                      G                      C
Saying father look I'm dying for me love Anachie

G                      Am                       Bm
The day that Jeannie married was the day that Jeannie died
C                      G                        C
And the day that young Anachie came home on the tide
G               D                Em                  Bm
And down came her maidens all wringing of their hands
C                           G                           C
Saying oh it's been so long you've spent so long on the sands
G           D              Em              Bm
Oh so long on the sands, so long on the flood
C                      G                      C
They have married your Jeannie and now she lies dead


G               Am                      Bm
You that are her maidens go take me by the hand
C                     G                         C
And take me to the chamber that me love she lies in
G               D                           Em               Bm
And he's kissed her cold lips till his heart has turned to stone
C                      G                      C
And he's died in the chamber that his love she lies in