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MMORPG.com's V D has provided us with his guide to the Animal Training Skill in Ultima Online.
Animal Taming is an important skill to have if you want to have impressive pets beyond ones you can own normally without any special skill required, such as are horses, pack horses, llamas, ridgebacks, beetles, ostards, and swamp dragons. If you have one of these and they go wild, you will be able to re-tame it since it was already yours. Aside from those animals, you need to know Animal Taming in order to own and control pets.
Read Animal Taming