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 (x32010@1)
Peg o' my heart
     F (133211@1)                   C (x32010@1)I'll love you don't let us part
       GI (320003@1)love you
         C (x32010@1)              F (133211@1)I always knew it would be you
          G (320003@1) 
Peg o' my heart

C (x32010@1)                F (133211@1)Since I heard your lilting laughter
          C (x32010@1)             G (320003@1)It's your Irish heart I'm after
          C (x32010@1)   F(4x) GPeg (320003@1)o' my heart

CPeg (x32010@1)o' my heart
        F (133211@1)                   COh (x32010@1)Your glances make my heart say
      G (320003@1)                CHow's (x32010@1)chances come be my own
               F (133211@1)        GCome (320003@1)make your home in my heart

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

C (x32010@1)
Peg o' my heart
     F (133211@1)                   C (x32010@1)I'll love you don't let us part
       GI (320003@1)love you
         C (x32010@1)              F (133211@1)I always knew it would be you
          G (320003@1) 
Peg o' my heart

C (x32010@1)                F (133211@1)Since I heard your lilting laughter
          C (x32010@1)             G (320003@1)It's your Irish heart I'm after
         C (x32010@1)             F (133211@1)It's your Irish heart I'm after
          G (320003@1)   
Peg o' my heart

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

C (x32010@1)
Peg o' my heart
     F (133211@1)                   C (x32010@1)I'll love you don't let us part
       GI (320003@1)love you
         C (x32010@1)              F (133211@1)I always knew it would be you
          G (320003@1) 
Peg o' my heart

C (x32010@1)                F (133211@1)Since I heard your lilting laughter
          C (x32010@1)             G (320003@1)It's your Irish heart I'm after
         C (x32010@1)             F (133211@1)It's your Irish heart I'm after
          G (320003@1)   
Peg o' my heart
(X2)

C (x32010@1)name="chord_133211@1">F           C (x32010@1)    G (320003@1)   Peg o' my heart
C (x32010@1)name="chord_133211@1">F           G (320003@1)   Peg o' my heart
C (x32010@1)name="chord_133211@1">F           C (x32010@1)    G (320003@1)   Peg o' my heart
C (x32010@1)name="chord_133211@1">F           G (320003@1)   C(Ending (x32010@1)note - let ring)
    Peg o' my heart