Retains its original name after taming. Rose is friendly to Alliance and can only be tamed by using the toy "N'lyeth, Sliver of N'Zoth" while in War Mode. She doesn't seem to be visible to Horde players. Rose can be found in the yard by the stables after you complete the main Norwington Estate storyline.
Level scaling: Most NPCs will scale with the Hunter's level, within the constraints of their level range. Hunters can tame regular NPCs up to 2 levels higher than them, but can only tame elite NPCs of the hunter's level or below.