This is the song referred to by the Traditional Ballad Index.
From the Bodleian Ballad Collection, 2806 b.11(121). (2806 c.15(130) is very similar.):


PAT OF MULLINGAR.

1. They may talk of Flying Childers, and the speed of Harkaway,
Till the fancy it bewilders, as you list to what they say;
But for real bone and beauty, though you travel near and far,
The fastest mare you'll find belongs to Pat of Mullingar.

CHORUS: She can trot along, jog along, drag a jaunting car,
No day's too long, when set along by Pat of Mullingar.

2. She was bred in Connemara, and brought up at Castlemaine,
She won cups at the Curragh, and a charger was in Spain;
All countries and conveyances she has been buckled to.
She lost an eye at Limerick and at Aughrim lost a shoe.*

3. If a friend you wish to find, sir, I'll go where'er you want,
I'll drive you out o' your mind, sir, or a little way beyant;
Like an arrow through the air, if you'll step upon the car,
You'll ride behind the little mare of Pat of Mullingar.

4. If Dollymount or Kingstown, is the place you wish to see,
Or I'll drive you to the Strawberry Beds, it's all the same to me;
To Donnybrook, whose ancient fair was famed for love and war,
Or if you have the time to spare, we'll go to Mullingar.

5. When on the road we're goin', the other carmen try
Without the darlin' knowin', to pass her on the sly;
Her one ear points up to the sky, she tucks her haunches in,
Then shows the lads how she can fly as I sit still and grin.

6. Then should yez want a car, sirs, I hope you'll not forget
Poor Pat of Mullingar, sirs, and his darling little pet;
She's gentle as the dove, sirs; her speed you can't deny,
And there's no blind side about her, tho' she only has one eye.


* 2806 c.15(130) says "and an ear at Waterloo"—which is consistent with the "one ear" mentioned in verse 5.

[Another somewhat different version is in Irish Come-All-Ye's compiled and arranged by Manus O'Conor (New York: The Popular Publishing Company, 1901), page 10.]