This is part of the Public Health (Control of Disease) Act 1984, sections 33 and 34: Public Conveyances.
An interesting discussion regarding this law (and a few others) can be found here.
TITLE 11 Criminal Offenses CHAPTER 11-22 Highways SECTION 11-22-11 § 11-22-11 Testing speed of horse. Every person who shall drive any horse over any of the public highways, for the purpose of racing or trying the speed of the horse, shall be fined not more than twenty dollars ($20.00) or imprisoned not exceeding ten (10)…
Sec. 4-1-9. Animal giveaway. No person in Athens-Clarke County shall give away any live animal, fish, reptile or bird as a prize for, or as an inducement to enter, any contest, game, or other competition, or as an inducement to enter a place of amusement, or offer such animal as an incentive to enter into…