My father-in-law taught it to all his kids this way. I'm not sure where his version came from. There's an illustration here: http://www.illustratedbykarenjones.com/index.php?id=153

It was the middle of December,
Oh, how well I do remember.
I was walking down the street in drunken pri-i-ide.

When my legs began to stutter,
So, I lay down in the gutter,
And a pig came up and lay down by my side.

Oh, my heart was all a flutter,
As I lay there in the gutter,
Until a passer-by was heard to sa-a-ay:

"You can tell a man that boozes
By the company he chooses."
And the pig got up and slowly walked away.

He walked away.
He walked away.
The pig got up and slowly walked awa-a-ay.

"You can tell a man that boozes
By the company he chooses."
And the pig got up and slowly walked away.