Батько

var parentName = transform.parent.name;

var grandparentName = transform.parent.parent.name;

transform.root.gameObject.name

GameObject GetChildWithName(GameObject obj, string name) {

     Transform trans = obj.transform;

     Transform childTrans = trans. Find(name);

     if (childTrans != null) {

          return childTrans.gameObject;

     } else {

          return null;

     }

}