Oh, good luck with food stamps. I was turned down in such a cruel way I was actually crying by the time that beast was done with me.
You're not going to get ANY financial assistance as long as you're benefiting from STBX's income. It doesn't matter if you are unemployed. It doesn't matter if he doesn't give you much of his income. You're married to him, so they assume you benefit fully from his income. Also, if you have any assets like a car, a house, or a savings account, they consider you rich. If he's paying your mortgage, you're rich. If he's paying any of your bills, you're rich. If you can afford to pay a lawyer (even if you've had to borrow the money), you're rich. Rich people don't need public assistance.
It's a Catch-22 that the food stamp people don't seem to understand.
I hope that in your state things are different. I think each state runs their program a little differently. Depending on how old your kids are you may qualify for WIC, too. Or not. LOL
I sincerely wish you the best of luck.