Father dies with no will and no spouse but has one minor child who is heir?

His only child would be his heir in most jurisdictions and his estate must be probated. The court will appoint a guardian for the child whose responsibility will be to protect her inheritance until she comes of age. You should consult with an attorney who can review the situation and explain the legal process in your jurisdiction. You can check the laws of intestacy for your state at the related question link below.