food stamps+medicaid

my baby's medicaid is due for renewal , when i was with her dad we used his stubs as i was not working .. in two weeks into my new job and we're not together, i moved back home and he's not on child support but does help out with stuff she needs, that's what we agreed on. can i apply for food stamps and medicaid by myself and her? will they make me put him on child support ? we don't want that and we're okay with how we are i just don't want to make it a whole big thing by applying for medicaid and food stamps again