Every owner of livestock referred to in Section 69-13-1 shall be liable for damages for all injuries and trespasses committed by such animals by breaking and entering into or upon the lands, grounds, or premises of another person; and the person injured shall have a lien upon the animal, or animals, trespassing for all such damage. The damages for such trespass shall not be less than Ten Dollars ($10.00) for each horse, cow or hog, and Five Dollars ($5.00) for each of the other kinds of stock; and for every succeeding offense, after the owner has been notified of the first trespass or injury, double damages shall be recovered with costs. For breaking or entering into a pasture or waste ground, however, double damage shall not be recoverable, and the damages in such cases may be assessed as low as Eight Dollars ($8.00) for each horse, cow or hog and Two Dollars ($2.00) for each of the other kinds of livestock.