Don't forget about WIC too. I don't know how old her children are but any children under 5 and pregnant/postpartum/breastfeeding women are eligible. I was a nutritionist for the program in Austin and will begin here in a few weeks so I am not sure what the wait time is for an appointment. If she happens to get approved for food stamps in the meanwhile (or receives Medicaid) she will be automatically eligible and won't have to mess with pay stubs and all that!
WIC is a very easy program to get onto as long as you bring all of the paperwork that they tell you to bring!
She will just fill out some very simple paperwork about medical/diet history for the kids and herself and they will do the rest.
WIC will provide things like eggs, milk, cheese, beans, PB, cereals, and juices. And if she is unable to breastfeed the new baby they also offer up to 9 cans of formula per month.
WIC is also a referal program, so they will be able to inform her about more programs that could assist her
Tell her to call 211 (a free public assistance info resource) to get the number for her local WIC. If the wait is too long for that particular clinic she can always ask which one can see her sooner and go to that one and transfer later.
I will be sending my prayers her way. I know they will be able to get through this!