OOooo, Bob! I just found an old one I learned as a kid. One of the ones they hoped we didn't notice, so of course we learned it on the first hearing. "Blood on the Saddle." Thusly:

"There was blood on the saddle
There was blood all around
And a great big puddle
Of blood on the ground."

"Oh, pity the cowboy,
All bloody and red,
For his bronco fell on him,
And bashed in his head."

etc.

Not exactly the wording I remember, but close enough. This particular arrangement is by Norman Cazden in a book called A Book of Nonsense Songs with the cover note "A collection of all-time favorites as well as unfamiliar songs that will make all gay occasions gayer." Some word usages change over time, don't they?!

Maggie