I don't know of a "poverty" food but when I was born in 1942 and growing up in Ohio both parents worked to keep us 3 in a rental ( no plumbing and only the old cookstove for heat) we ate plenty of beans, greens, whatever wild critter my Dad could shoot or fish for ( including frogs and muskrat) and plenty of yellow cornmeal & flour.
Summer they had a small garden but no hoses to water so I would pump buckets and they carries them to the garden. We survived.
I still love beans and fried mush. It is similar to polenta. I would walk with Ma gathering wild asparagus and raspberries. I still dislike nasty carp!
Fried mush...haven't made it in ages, but still love it...think it's an Ohio thing, maybe PA, too, since I was raised in OH.
Other poverty food...potatoes. Just ask my Irish ancestors.
Squirrel, check their teeth. Young ones fried, old one stew.
I wonder if that applies to rabbits. My husband came home once with a big one that I proceeded to cook up for a rabbit pie...but way too gamey. We had curried rabbit and rice instead of rabbit pie. I guess that's why the East Indians invented curry powder...covers up a lot.
I soak them in ice and vinegar to draw some gamey taste out.