These are the only lyrics I have ever heard.

We had a hen, no eggs would she lay
We had a hen, no eggs would she lay
Until the rooster came on the farm
He caught that hen out by the barn

She's layin eggs now yes we've got eggs now
Since the rooster came on the farm
She's layin eggs now yes we've got eggs now
Since the rooster came on the farm

We had a cow no milk would she give
We had a cow no milk would she give
Until the rooster came on the farm
And caught that cow out by the barn

She's given eggnog yes we've got eggnog
Since the rooster came on the farm
Yes we've got eggnog, yes we've eggnog
Since the rooster came on the farm

We had a dog she wouldn't have no pups
We had a dog she wouldn't have no pups
Until the rooster came on the farm
And caught that dog out by the barn

We're havin bird dogs yes we've got bird dogs
Since the rooster came on the farm
Yes we've got bird dogs we're havin bird dogs
Since the rooster came on the farm

I had an aunt she wouldn't have no kids
Had an aunt she wouldn't have no kids
Until the rooster came on the farm
And caught my aunt out by the barn

We're havin fried chicken
We're havin fried chicken
Since the rooster came on the farm
We're havin fried chicken
We're havin fried chicken
Since the rooster came on the farm

The aunt part is my favorite I think it's funny!