This was my mother's version:

Out on the wild and western prairies
Lived an Indian maid,
Arawanna, Queen of Fairies
of her tribe afraid.
Each night came an Irish laddie
with a wedding ring.
He would sit outside her tent and
with his bagpipes loudly sing.
"Arawanna on my honor, I'll take care of you,
I'll be kind and true.
We can love and bill and coo
In a wigwam built of shamrocks green
We'll make those red men smile.
When you're Mistress Barney, heap much carney
From Killarney's Isle.

As the moon shown down upon her Arawana sighed,
Some great race must call you Big Chief
Then I'll be your bride.
Sure that's easy whispered Barney,
With a smiling face,
All my family were great runners
And were first in every race!

Arawana on my honor
I'll take care of you.
We can love and bill and coo,
In a wigwam built of shamrock's green
We'll make those red men smile.
When you're Mistress Blaney, heap much carney
from Killarney's isle.