Upon the presentation of the application, with the accompanying plan or map, as provided in §65-7-103, it is made the duty of the county mayor to give ten (10) days' notice to each and every member of the county legislative body of the county mayor's county to assemble at the courthouse of the county, in order to take action on such application. If at such special meeting of the county legislative body a majority of the members in commission shall be of the opinion that an election should be held in the county to determine whether or not the county should make the subscription applied for, the legislative body shall so order.