Not surprisingly, perhaps, the drunk rider atop the sober horse ended up attracting the attention of a sheriff's deputy who pulled the pair over. Turns out, Sugar doesn't qualify as a "vehicle" in the state, which meant she saved Williams from getting charged with a DWI - but she couldn't prevent him from receiving a citation for public intoxication.
A family member ended up giving Williams and Sugar a lift home, with the cowboy vowing that he'd learned his lesson - which is good, considering that Sugar shouldn't have been tasked with hauling a drunken rider in the first place.
Interestingly, while drunken Williams's decision to ride a horse didn't result in a DWI in Louisiana, that's not to say it wouldn't elsewhere. In some states, horses are considered "vehicles" subject to the same laws as a car, and riding one drunk is not treated any differently. Still, not all places are so discouraging of the practice.
A public service announcement from Montana, released a few years back, openly encourages drunk bar patrons to let their horses give them a lift home.