Your liability for negligence reaches as far as your causation does. In most cases, that means if your negligence created the situation in which damages occurred--directly through your own action or inaction--then whatever you set into motion can come back and bite you in the a$$.
So if you let a horse get loose and it travels 200 miles and 4 months later someone gets hurt, are you still in trouble? Yep.
Next we will talk about liability for animals that get away from you and your property. These loose animals are called estrays.
Estrays can cost you. The people they hurt have signed no sort of release at all.