A later personal message from Mark Ross informs me that the following verse was the one written by Nancy Kass. Mark found it in the 1973 edition of the IWW Little Red Songbook, and I found it in the 2007 edition of The Big Red Songbook, by Archie Green, David Roedinger, Franklin Rosemont, and Salvatore Salerno. Song Number 188, page 270:

A woman's struggle is hard,
Even with a union card,
She's got to stand on her own two feet,
And not be a servant of a male elite.
It's time to take a stand,
Keep working hand in hand,
There is a job that's got to be done,
And a fight that's got to be won.

This verse, attributed to Nancy Katz, is also in Carry It On, a songbook published by Sing Out! in 1985 (1991 edition), edited by Pete Seeger and Bob Reiser page 154. Carry It On also has the "take a little tip from me" verse and attributes it to Cappie Israel - but we know that Cappie Israel says she didn't write that verse.