Pets wandering around ill, dirty and miserable

Where in the world are players running into sick pets?

I want there to be one or two places in the game that you can run into pets that needs to be adopted because I like the idea of helping strays. For my part I have not seen strays in any other world other than Brindleton Bay unless I put a lot-trait to attracted dogs or cats.

When you run into strays that are sick, where in the game is that?