If the proposed new county be created with the boundaries specified in the plat and certificate of survey mentioned in section four of this article, a copy of such plat and certificate showing the courses and distances of the boundary line of such new county, and the streams and other natural objects or points referred to in the act creating the same, shall be filed in the office of the Secretary of State, and a similar copy in the office of the clerk of the county court of such new county. But if such new county be created with different boundaries than those so specified, the lines thereof, so far as they differ from those originally run as aforesaid, shall be run and marked by the surveyor of such new county and the surveyors of the counties out of which the same may be formed. They shall make a report of their proceedings to the Secretary of State, and also to the clerk of the county court of each of such counties, accompanied by a plat similar in all respects to the one hereinbefore provided for. Such surveying shall be done at the expense of such new county.