The amount depends on how much the father paid into Social Security while he was alive. He was 40 when he died so he probably had been working for quite some time. Kids get 75% of their parents' benefit.My child's father died so we receive Social Security survivor benefits, and will continue to until my child is 18. It's not a lot each month. It might cover her rent, depending how much it was, but it's not enough to live on. I suppose it depends on what other public assistance Melodee's mother might have been receiving but it would be tight. (Also in our case, no DNA sample was required. They just needed his death certificate and my child's birth certificate which named him as the father.)
That combined with cash assistance that's available to families in California as well as SNAP might well be enough for her to live on. Especially if she receives housing assistance.