Nothing in §§ 14-387-301 — 14-387-306, and 14-387-701 — 14-387-706 shall be construed as to prevent owners or other persons from driving any of the species of animals enumerated in § 14-387-301 from one place to another, or along the public highway, the owners of animals being responsible for all damages that any person may sustain in consequence of the driving of stock.