This is exactly how the Dubliners play it, without a capo.
Basically the whole song just goes D A.

Intro (flutes): D A A D x4

VERSE I:
--------
       D (xx0232@1)           AIn (x02220@1)the days I went a courtin',
      A (x02220@1)           DI (xx0232@1)was never tired resortin'.
      D (xx0232@1)            ATo (x02220@1)an ale house or a playhouse,
    A (x02220@1)                DAnd (xx0232@1)many's the house besides
      D (xx0232@1)             ABut (x02220@1)I told me brother Seamus,
       A (x02220@1)              DI'd (xx0232@1)go off and be right famous,
      D (xx0232@1)           AAnd (x02220@1)I never would return again,
        A (x02220@1)         DUntil (xx0232@1)I roamed the worldwide.


CHORUS:
-------
D (xx0232@1)                AGoodbye, (x02220@1)Muirsheen Durkin,
         A (x02220@1)               DSure (xx0232@1)I'm sick and tired of workin'
   D (xx0232@1)               ANo (x02220@1)more I'll dig for praties,
       A (x02220@1)            DAnd (xx0232@1)no longer I'll be fooled
   D (xx0232@1)                AAs (x02220@1)sure as me name is Carney,
        A (x02220@1)        DI'll (xx0232@1)be off to Californy
         D (xx0232@1)             AWhere (x02220@1)instead of digging praties,
        A (x02220@1)              DI'll (xx0232@1)be digging lumps of gold.


Inst. (flutes): D A A D x1


VERSE II:
---------
     D (xx0232@1)              AI've (x02220@1)courted girls in Blarney,
      A (x02220@1)         Din (xx0232@1)Kanturk and in Killarney
                  A (x02220@1)         
In passage and in Queenstown, 
     A (x02220@1)            Dthat (xx0232@1)is the Cobh of Cork.
    D (xx0232@1)             AGoodbye (x02220@1)to all this pleasure,
        A (x02220@1)            DI'll (xx0232@1)be off to take me leisure
        D (xx0232@1)                   AAnd (x02220@1)the next time that you'll hear from me, 
          A (x02220@1)             Dwill (xx0232@1)be a letter from New York.


CHORUS:
-------
D (xx0232@1)                AGoodbye, (x02220@1)Muirsheen Durkin,
    A (x02220@1)               DI'm (xx0232@1)sick and tired of workin'
                     ANo (x02220@1)more I'll dig for praties,
       A (x02220@1)            DAnd (xx0232@1)no longer I'll be fooled
                      AAs (x02220@1)sure as me name is Carney,
        A (x02220@1)        DI'll (xx0232@1)be off to Californy
                         AWhere (x02220@1)instead of digging praties,
        A (x02220@1)              DI'll (xx0232@1)be digging lumps of gold.


VERSE III:
----------
D (xx0232@1)            AGoodbye (x02220@1)to the girls at home,
    A (x02220@1)                  DI'm (xx0232@1)going far across the foam.
   D (xx0232@1)             ATo (x02220@1)try and make me fortune,
   A (x02220@1)      Din (xx0232@1)far Amerikay.
        D (xx0232@1)                 AThere's (x02220@1)gold and jewels and plenty,
        A (x02220@1)              AFor (x02220@1)the poor and for the gentry
    D (xx0232@1)           A (x02220@1)    
And when I return again, 
  A (x02220@1)             DI (xx0232@1)never more will say:


CHORUS:
-------
D (xx0232@1)                AGoodbye, (x02220@1)Muirsheen Durkin,
         A (x02220@1)               DSure (xx0232@1)I'm sick and tired of workin'
   D (xx0232@1)               ANo (x02220@1)more I'll dig for praties,
       A (x02220@1)            DAnd (xx0232@1)no longer I'll be fooled
   D (xx0232@1)                AAs (x02220@1)sure as me name is Carney,
        A (x02220@1)        DI'll (xx0232@1)be off to Californy
         D (xx0232@1)             AWhere (x02220@1)instead of digging praties,
        A (x02220@1)              DI'll (xx0232@1)be digging lumps of gold.


Inst.: D A A D to fadeout.