This is GREAT! I'm trying to find this as I learned it, which was from a songbook maybe 30 or 40 years ago. I will have to see if I can find it.....but the bits I remember are closer to the original request from Lori:

I had a horse his name Napoleon
All on account of his bony parts.
He was raised in old Kentucky
I'd holler "race" and off he'd start.

One day while riding through the city
'Long came a jay with a rig so neat
He said "Come on Reuben,
We'll have a race right down the street".

That's all I remember, except that it ended with ...
"hollered milk and I lost the race".

The tune was perhaps the ones refereed to, but another (insidious) song to the same tune is from Sharon, Lois and Bram:

I am slowly going crazy
One two three for five six switch
Slowly going crazy am I
Six five four three two one switch       and repeat forever!

except Napoleon has a nice horsey gait....

If I find the book I'll post again. - Jack