TPW advised that one should report (that is if known to tagged) according to astray laws: HuntingWTR wrote: ↑Tue Jul 16, 2019 2:15 pmThe Elk is essintially “ branded” with his ear tags. You shoot it and are caught you get arrested. You just need to report the animal and the authorities are obligated to pick it up. The owner will be held responsible for any associated cost . Talk to a Sheriff before you give advise. ThanksArchery1 wrote: ↑Tue Jul 16, 2019 2:05 pm Your question is more is it ethical. But, then, how would one herd it back to the landowner. Otherwise, game and wild animals are not livestock. They belong to the public domain, regulated for taking by state and federal regulations. We are not in merry old England.
"Are exotic animals that happen to show up on my property fair game?
It depends! If an exotic animal has a visible tag, brand, or other identifying mark, a person should contact the local sheriff's office and report the exotic animal. Texas estray laws apply to marked exotic animals and the local sheriff is responsible for their enforcement. Exotic animals that are not marked and are free ranging that have wandered onto private property may be hunted with a hunting license, provided the owner of the property allows hunting. However, if an exotic animal appears on your property and you know that it is privately owned, then the ethical approach is to contact the owner."
The OP knows, so ethically, as stated, it's their choice. Game animals are migratory by nature. If he shot and found a tag, or chose to unethical, there's nothing to state punishment.