So this is the prequel to The Hunger Games? :)
So we have this teenage girl who is the only caretaker of both her mother and sibling(s). Mother is deeply depressed and has no sense of the world around them. Children are too young to take care of themselves. Father is dead.
They are living in a secluded area in very poor conditions and girl has to go hunting regularly to feed the family.
And they are often harassed by "the law".