First, I am hoping that your daughter is fine and grateful if that is the case. Next, I think that it may be in your best interest to speak with an attorney that handles Personal injury cases and criminal cases.  Michigan is one of the states that has a Parental Responsibility statute (sometimes called Failure to Supervise). For example, the City of Bridgman has the following: (a) It is the continuous duty of the Responsible Person to exercise reasonable control to prevent the minor from committing any delinquent act. (b) No Responsible Person shall fail to exercise reasonable control over such minor. A parent is a responsible person.  If firing the bow and arrow could be construed under state law as a "delinquent act" then the parents could be civilly liable.  Seek help.  Good luck.