Sue West of Maine wrote a really nice song called "DRINK TO THE LADDIES." It's on DigiTrad.

There's another drinking song a friend of mine swears is a woman's song; I think because he learned it without the verse that makes it clearly a man's song. I sing it without that verse and it works great. It's called "The Midnight Glass." A version of it is on DT as "JOKE AND PUSH ABOUT THE PITCHER," which is the last phrase of the chorus ( I learned it as 'sing and push about the pitcher').

I'm glad you started this thread, 'cause I like to sing bawdy/drinking songs too. ;-)