These chords will sound better to some people:

Near (Em) Banbridge Town in the (G) County (D) Down
One (Em) mornin' last Ju- (Bm) ly,
Down the (Em) boreen came a (G) sweet col- (D) leen
And she (Em) smiled as she (Am) passed me (Em) by.
She (G) looked so sweet from her (D) two bare feet
To the (Em) crown of her nut-brown (Bm) hair.
Such a (Em) winsome elf that I (G) pinched my- (D) self
For to (Em) see I was (Am) really (Em) there.

Cheers,
Alan