This is how my grandfather taught it to me. I've been looking for the complete lyrics for a while. If anybody's knows please let me know.

Me and Brother Bill went a-huntin'
Way up in the woods of northern Maine.
The reason why we went up there,
Cause we hoped to catch some game

Me and Brother Bill went a-huntin'
Way up in the middle of the night
We shot a something like a grizzly bear
And the gosh darn thing turned white

Well I dropped my gun and away I run
Brother Bill said what's the matter with you
But had he knowed what I seen
He'd a run some too

I ran so fast and I ran so far
They say they couldn't catch me all day
Well I run so hard across field
They say they couldn't catch me with an automobile

I run 'till I was exhausted
And my feet were draggin' on the ground
But I says to me feet don't you fail me now
'Cause we're Alabami bound.