Tex. Agric. Code § 143.033

If a person whose fence is insufficient under this subchapter maims, wounds, or kills a head of cattle or a horse, mule, jack, jennet, sheep, or goat, or procures the maiming, wounding, or killing of one of those animals, by any means, including a gun or a dog, the person is liable to the owner of the animal for damages. This section does not authorize a person to maim, wound, or kill any horse, mule, jack, jennet, sheep, goat, or head of cattle of another person.