First off I would like to say that I love this game.
However I have found myself and my animals getting stuck a lot. Even when I was playing on my private server I could not get my animals out with cheat ghost or so. The developers are probably going to fix these terrains in the future but for now I have a suggestion for the situation as is.
If the developers add something like a crane (craftable) to toggle the animals (and players if needed) than this could fix the situation for the better.