I got this done by getting the Jumpatron blowfall buff and jumping off the hill above the nest on an epic mount with spurs on my boots. It dropped me right on the nest.
Quest
Bring Me The Egg!
A World of Warcraft quest in Nagrand. Facts and objectives from the current retail game data.
The highest voted Wowhead comments for this page. They are community notes, not TheWoWDB comments.
Use the Jump-a-tron 4000 next to Wazat to launch yourself into the air and land in the nest with the mysterious egg. Using the Jump-a-tron gives you a 3 minute duration slow fall debuff, and the only practical way to land in the nest is to click it off once you're at the proper trajectory floating above it.
Once you interact with and take the egg, the matriarch will swoop down and is non-aggressive, ready to be killed. I completed this quest with another warrior, and it was moderately difficult, though using taunt and bandaging properly made it reasonable to do.
People on my server had a hard time getting into the nest so here's a good trick:
Get the slow-fall buff from the trampoline. Then mount up (epic mount only) and go up on the ridge a few yards south-east of the tree. If you time your jump good you should be able to float into the nest. It is doable without any speed spell on your mount, but it's piece of cake with stuff like "Carrot on a stick" or the "Animal handler" talent of the hunter.
Here is a movie of me doing it:
http://video.google.com/videoplay?docid=-4546574312878450602
Quest facts
The client quest POI data records no map location for this quest, so no map is shown.
Check whether you have already completed this quest
in-game: /run print(C_QuestLog.IsQuestFlaggedCompleted(10111))
Description
Now that you've been initiated, I want you to get me that egg! Use the Jump-a-tron and try to hit the nest dead center. But be careful! Bodily injury or serious permanent damage may occur from a bad jump.
Community notes from Wowhead · 276 comments
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Item facts are the current retail client’s (ItemSparse); the specialisations for a pick-one item are the ones the Blizzard quest API lists; faction and currency text is the client’s own. Lowest listed price = the US commodity auction house now.