Just to inform you, this is the very first tab I have figured out on my own, even 
if it is a VERY simple song, please don't be too harsh with me if there are any errors.

Intro:
C, F, C, G, C, F, G (each chord 4x strumming, except the last G chord: 8x)

       C  
Peg o' my heart
     F                     C 
I'll love you don't let us part
       G
I love you
         C                F 
I always knew it would be you
          G   
Peg o' my heart

        C                  F 
Since I heard your lilting laughter
          C               G 
It's your Irish heart I'm after
          C     F(4x) G
Peg o' my heart

          C
Peg o' my heart
        F                     C
Oh Your glances make my heart say
      G                  C
How's chances come be my own
               F          G
Come make your home in my heart

C, F, C, G, C, F, G

       C  
Peg o' my heart
     F                     C 
I'll love you don't let us part
       G
I love you
         C                F 
I always knew it would be you
          G   
Peg o' my heart

        C                  F 
Since I heard your lilting laughter
          C               G 
It's your Irish heart I'm after
         C               F 
It's your Irish heart I'm after
          G     
Peg o' my heart

C, F, C, G, C, F, G

       C  
Peg o' my heart
     F                     C 
I'll love you don't let us part
       G
I love you
         C                F 
I always knew it would be you
          G   
Peg o' my heart

        C                  F 
Since I heard your lilting laughter
          C               G 
It's your Irish heart I'm after
         C               F 
It's your Irish heart I'm after
          G     
Peg o' my heart
(X2)

C F           C      G
    Peg o' my heart
C F           G
    Peg o' my heart
C F           C      G
    Peg o' my heart
C F           G     C (Ending note - let ring)
    Peg o' my heart