Whenever, after a careful investigation and report, it shall appear to the director of the state department of social welfare that any child in Michigan under 17 years of age has no guardian willing and able to take suitable action in behalf of the child or that it appears that such child is being deprived of some service or right generally available to children in Michigan because of the refusal or asserted inability of some administrative or judicial agency or agencies of the state or its political subdivisions to provide or order such service or enforce such right, and it further appears that such refusal or asserted inability exists for the reason of no jurisdiction or power because of some question of residence of the child, it shall be the duty of said director, acting as the agent of the state, to take such action as may be necessary to obtain a final legal determination as to which administrative or judicial agency has the duty of furnishing or ordering the service to or protecting the rights of such child.