DURING GREEN CARD PROCESS?

I entered USA legally with B1/B2 tourist visa. Now I am out of status in USA. My girlfriend has getting food stamps since long time but not cash at all. If she marry me, her food stamps will stop or she is disqualified for food stamps during my green card process. I MEAN WHEN I WILL HAVE JOB, DOES SHE LOSE HER FOOD STAMPS ?