When a territory is detached from any county, city, or town in this state and annexed to any other county, city, or town:
(1) it is the duty of the proper officer of the county, city, or town to which the territory is annexed to demand from the proper officer of the county, city, or town having custody of the public records of the territory a transcript of all public records pertaining to the territory; and
(2) it is the duty of the officer from whom the records are demanded to furnish the authenticated transcripts of all records in that office, which must be paid for, after the records are furnished, by the county, city, or town to which the territory is annexed.