Classic WoW Level Ten Pet Quest for Troll Hunter
This tutorial covers the Taming the Beast quest chain from the point just ahead of Thotar will give you a taming Rod for the Dire Mottled Boar in Razor Hill. Thotar will give you a number of three taming rods, each differs and lets you tame beasts in the following order: Dire Mottled Boar, Surf Crawler and eventually an Armored Scorpid.
Once you've completed the taming Component of the Quest chain, you have got to head to Orgrimmar and speak to Ormak Grimshot from the Valley WoW Classic Level 10 Pet Quest for Horde of Honor to be able to unlock your companion pet managing abilities: Tame Beast; Feed Pet; Revive Pet; and Beast Training.
Eventually, don't forget to visit the Pet Trainer and get the Pet capabilities that you will need to give to your pet.