Sure the little one has an owner, but clearly not an owner educated about their dogs breed. Anyone who just assumes all dogs are outdoor dogs because "they're a dog, that's where they go" shouldn't be dog owner IMO (sometime's big dogs need to be inside, too) and def. shouldn't have a yorkie.
That said… If that baby is still out there today or tomorrow, I'd take em in. Sounds like their owner wouldn't even notice