The guardian may remove the person or the conservator may remove the estate of a minor or ward to another state by making a full settlement with the judge of the probate court where his or her letters were granted of his or her conservator accounts and by procuring a transcript of the record of a court of competent jurisdiction of such other state, certified according to the act of Congress, showing the appointment of such person as guardian or conservator of the minor or ward, the execution of bond by the conservator with surety for the performance of the trust. Thereupon, the judge of probate must make an order authorizing such removal.