WoW Classic Lvl 10 Pet Quest for Troll Hunter
This video covers the Taming the Beast quest chain from the point just before Thotar will give you a taming Rod to get a Dire Mottled Boar in Razor Hill. Thotar will give you a series of three taming rods, each one is different and will allow you tame beasts in the next order: Dire Mottled Boar, Surf Crawler and eventually an Armored Scorpid.
When you have done the taming More hints Portion of The search chain, you will have to head to Orgrimmar and talk to Ormak Grimshot hunter pet quest classic during the Valley of Honor more info here as a way to unlock your companion pet managing abilities: Tame Beast; Feed Pet; Revive Pet; and Beast Training.
Ultimately, remember to go to the Pet Trainer and get the Pet abilities that you need to give to your companion pet.