Any landowner or lessee of land may take up any domestic animal that strays upon his premises or any public thoroughfare adjoining the same. When any person shall take up any stray animal, he shall make a reasonable investigation immediately to ascertain the owner of such animal and, within seven (7) days, he shall report such taking up to the county sheriff of the county in which the animal was taken up, giving a description of the animal, setting forth the brand, sex, and approximate age of such animal. When the identity of the owner of any stray animal is known to the taker-up he shall communicate to the said owner that the animal has strayed and that he has taken it up. The taker-up may require the owner of any strayed animal he has taken up to pay the actual cost of its keep while so taken up plus all damages that the strayed animal caused to the premises. When one who has taken up a strayed animal is unable, after investigation, to ascertain by whom the animal is owned, or when an owner of a strayed animal is identified and known to be such but neglects or fails to pay the cost of the animal's keep while taken up plus all damages it caused to the premises of the taker-up and remove the animal from the possession of the taker-up the latter shall report all facts relative to the matter to the sheriff of the county in which the animal was taken up.