The clerk shall fasten securely one copy of each plat described under § 3-108 in a book provided for that purpose or shall record the plat. He promptly shall send one copy of each plat to the supervisor of assessments of the county and one copy, with one half of the filing fee, to the State Archivist, who shall number and file the plat as part of the records of his office and shall notify the clerk of the number given. The Archivist shall mail or deliver, free of cost, to any supervisor of assessments of the State, a copy of the plat on request. Nothing in this section affects any recording fee of the clerk of the court under any local legislation prescribing recording fees for subdivision plats. The clerk and the Archivist shall keep accurate memoranda of the filing fees.