In Virginia, if livestock breaks into property enclosed by a fence which meets certain specifications (the specifications are geared toward strength and effectiveness, e.g., minimum height, how many strands of barbed wire), the owner of the animals is liable for the damages. Upon a second occurrence by the same animal, punitive damages of up to $40.00 are authorized. Va. Code § 55-306.
No, the statute hasn't been updated in a few decades.
