Per your leads, here's what I found:
GALLO DEL CIELO Tom Russell, 1979
Carlos Zaragoza left his home in Casas Grandes when the moon was full,
No money in his pocket, just a locket of his sister framed in gold.
He headed for El Sueco, stole a rooster called "Gallo del Cielo,"
Then he crossed the Rio Grande with that rooster nestled deep beneath his arm.

Gallo del Cielo was a warrior born in heaven, so the legends say.
His wings, they had been broken, he had one eye rollin' crazy in his head.
He's fought a hundred fights, and the legends say that one night near El Sueco
They'd fought Cielo seven times and seven times he'd left brave roosters dead.
"Hola, my Theresa, I am thinking of you now in San Antonio.
I have 27 dollars and the locket with your picture framed in gold.
Tonight I'll bet it all on the fighting spurs of Gallo del Cielo,
Then I'll return to buy the land that Villa stole from father long ago."
Outside San Diego, in the onion fields of Paco Monteverde,
The Pride of San Diego lay sleeping on a fancy bed of silk.
And they laughed when Zaragoza pulled the one-eyed del Cielo from beneath his coat,
But they cried when Zaragoza walked away with a thousand dollar bill.
"Hola, my Theresa, I am thinking of you now in Santa Barbara.
I have fifteen hundred dollars and the good luck of your picture framed in gold.
Tonight I'll put it all behind the fighting spurs of Gallo del Cielo,
Then I'll return to buy the land that Villa stole from father long ago."
Now the moon has gone to hiding and the lantern light spills shadows on the fighting sand.
A wicked black named Zorro faces del Cielo in the night,
And Carlos Zaragoza fears the tiny crack that runs across his rooster's beak,
And he fears that he has lost the fifty thousand that is riding on the fight.
"Hola, my Theresa, I am thinking of you now in Santa Clara
Oh, the money's on the table, I am holding now your good luck framed in gold.
And everything we dream of is riding on spurs of [Gallo] del Cielo,
Then I'll return to buy the land that Villa stole from father long ago."
Then the signal, it was given, and the cocks, they rose together far above the sand.
Gallo del Cielo sunk a gaff into Zorro's shiny breast.
They were separated quickly and they rose and fought each other thirty seven time,
And the legends say that everyone agreed that del Cielo fought the best.
Then the screams of Zaragoza filled the night outside the town of Santa Clara,
As the beak of del Cielo lay broken like a shell within his hand.
And they say that Zaragoza screamed a curse upon the bones of Pancho Villa
When Zorro rose up one last time and drove del Cielo to the sand.
"Hola, my Theresa, I am thinking of you now in San Francisco.
There's no money in my pocket, I no longer have your picture framed in gold.
I buried it last evening with the bones of my beloved del Cielo.
I'll not return to buy the land that Villa stole from father long ago.
"Do the rivers still run muddy outside of my beloved Casas Grandes?
Does the scar upon my brother's face turn red when he hears mention of my name?
Do the people of El Sueco still curse the theft of Gallo del Cielo?
Tell my family not to worry, I will not return to cause them shame.

In addition to Tom Russell, it's been recorded by Joe Ely and Ian Tyson.

^^^