Immediately after ascertaining the results of an election for county officers, including members of the House of Representatives of the Legislature, the canvassing board must make in writing a public certification of the result, stating the name of each officer elected and the office to which elected. The certification must be signed by at least two of the members of the canvassing board and must be published by filing the original in the office of the judge of probate, by posting a copy thereof at the courthouse door, and by immediately transmitting a copy to the Secretary of State by fax or electronic transmission. The original certificate shall be recorded by the judge of probate in a book to be provided for the purpose; and the record, or a duly certified copy thereof, shall constitute prima facie evidence of the result of the election and the certification thereof as provided by law.