(a) If a minor child's parents are domiciled in the same county, the domicile of that child shall be that of the parents. If a minor child's parents are divorced, separated, or widowed, or if one parent is not domiciled in the same county as the other parent, the child's domicile shall be that of the custodial parent. The domicile of a minor child born out of wedlock shall be that of the child's mother.

(b) Where a child's parents have voluntarily relinquished custody of the child to a third person or have been deprived of custody by court order, the child's domicile shall be that of the person having legal custody of the child. If there is no legal custodian, the child's domicile shall be that of his guardian if the guardian is domiciled in this state. If there is neither a legal custodian nor a guardian, the domicile of the child shall be determined as if he were an adult.