When it is proposed to change a county line, a notice thereof shall be published prior to the application for a survey of the proposed change as a Class II legal advertisement in compliance with the provisions of article three, chapter fifty-nine of this code, and the publication area for such publication shall be the county from which any territory is proposed to be taken. At any time after such notice has been published, the county court of the county, a part of whose territory is proposed to be attached to another county, shall, on application of any person interested, and at his expense, cause a survey of the proposed change of line to be made by the surveyor of the county, or by some competent surveyor appointed for the purpose. The surveyor so appointed, or directed, to make such survey shall, as soon as his fees therefor are paid or secured to be paid to his satisfaction, proceed to make such survey and return a plat and report thereof to said court, and the clerk thereof shall file and preserve the same in his office; and shall, as provided in section three of this article, make out and deliver to any person who may demand the same, a certified copy thereof. Every application to the Legislature for the change of a county line shall be accompanied by a duly certified copy of such plat and report. If the county court of such county refuse to order such survey to be made, or if the surveyor appointed by such court to make such survey fail or refuse to do so, then and in that event the county court of the county to which such territory is proposed to be added shall, on the application of any person interested, and at his expense, order the survey to be made and appoint a surveyor to make the same; and the surveyor so appointed shall, as soon as his fees therefor are paid or secured to be paid to his satisfaction, make and report such survey to the county court of his county as hereinbefore required.