Retains its original name after taming. Deatheye is located west of a small hill, south-west of Nethergarde Keep and east (across the main road from) Dreadmaul Hold. It only appears in the original, pre-"Iron Horde Invasion" phase of the zone. Speak to Zidormi, in the passage to the Swamp of Sorrows, to access the pre-invasion phase.
*Level scaling: In Shadowlands 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.