I believe there are better lions to tame in the Barrens. The Savannah Patriarch is the lion I tamed. Everything in Mulgore is going to be very low level.
But, if you can get yourself to booty bay, you can travel to Ratchet and then go through the Barrens to the crossroads. Head south, following signs to Mulgore. You will make a right turn in the South Barrens and Mulgore is really close. Thunderbluff is accross Mulgore and you will go through the city of Bloodhoof to get there. Lots of guards that will be agro to you. There is one that wanders the path between the Barrens and Bloodhoof as well, so be careful.
Oh, and it might interest you that your people have set up a mining camp there in Mulgore. Unfortunately, every 7th level Tauren goes up and completely slaughters your kinfolk for sport and for some silver. :-)
Oh...and there is a city called Camp Taurajo on the border of Mulgore and The Barrens. You might have a hard time getting through there. You will want to circle wide around it as there are guards that wander all over through there.
Edited, Thu Dec 16 13:53:43 2004 by lhuffman