Well, Snuffy, it seems to fit.The language fits the other two verses, without any sense that it was coined later by someone wanting to cash in on a political trend or new hot button. If it said something like "Now that she's got the vote, her cares are gone." that would be a dead giveaway.
My only concern - it doesn't follow the A-B-A-B rhyming scheme that Lamb uses in most of our original lyric.
Do you know any more about that recording?