Hi, MickyMan-
There's an earlier threat titled Songs about Hunger (for kids) that came up with a few suggestions.

I found it when I was looking for:

Hungry, hungry are we,
Just as hungry as hungry can be;
We don't get nothing for our labor,
So hungry, hungry are we!

There are lots of "lefty" songs from the early 20th century that might satisfy you - or are you looking only for ones that are older than that era? One that would certainly fit is The Famine Song (Praties They Grow Small). Another on the subject of potatoes is Bulbes, and there are lots of other hunger songs in the thread with that "Bulbes" song.

Not traditional, but how about Joe Hill's The Preacher and the Slave; or Maurice Sugar's The Soup Song?

-Joe-