Any street or alley shown by any map, plat, or survey, whether such map or plat is executed and recorded as provided by law or not, may be vacated, in whole or in part, by the owner or owners of the lands abutting the street or alley (or that portion of the street or alley desired to be vacated), or their executors, administrators, or guardian, joining in a written instrument declaring the same to be vacated, such written instrument to be executed, acknowledged, and recorded in like manner as conveyances of land, which declaration being duly recorded shall operate to destroy the force and effect of the dedication by the map, plat, or survey and to divest all public rights, including any rights which may have been acquired by prescription, in that part of the street or alley so vacated. If any such street or alley is within the limits of any municipality, the assent of the mayor and aldermen or other governing body of the municipality must be procured, evidenced by a resolution adopted by such governing body, a copy of which, certified by the clerk or ministerial officer in charge of the records of the municipality must be attached to, filed, and recorded with the written declaration of vacation. Convenient means of ingress and egress to and from their property shall be afforded to all other property owners owning property in the tract of land embraced in the map, plat, or survey, either by the remaining streets and alleys dedicated by such map, plat, or survey or by any other street or alley being dedicated. If such street or alley has been or is being used as a public road and outside of any municipality, the assent of the county commission of the county in which the property is situated must be procured, evidenced by resolution adopted by such county commission, a copy of which, certified by the presiding officer thereof, must be attached thereto, filed and recorded with the declaration of vacation.