I have a friend who just joined WoW. He used his 120 boost from the preorder for Shadowlands, and wanted to get his artifact weapon asap. I guided him via party sync through the Broken Shore intro, and when it came time to turn in Keep Your Friends Close to Elthyn Da’rai, she did not offer the next quest, In The Blink Of An Eye. My friend was not able to go to Dalaran manually. I ported him via my mage, still no Dalaran hearthstone. We spoke to the innkeeper to get one, she did not offer one. We then returned to Org to speak to Holgar Stormaxe, no quest, no skip, nothing.
Is there a way to get him his Dalaran Hearthstone? He’s Horde, boosted 120, completed all Legion intro quests up to In The Blink Of An Eye.
Or is this a bug that needs to be fixed?
Howdy, just had a very similar issue. I got my hearthstone by talking to Amisi Azuregaze in Dalaran. Hopefully that fixes your buddy’s issue.
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I want to thank you personally, on behalf of my friend, thank you.
Side note, I feel stupid. I went to the Horde-side Innkeeper and she didn’t give it. I’m an idiot… should’ve tried the DALARAN innkeeper, not the FACTION innkeeper.
Regardless. Thank you very much 
Have either of you tried using this hearthstone from the innkeeper?
Not his friend, but I got the stone and it does not work. I have done the quest line up to “ in a blink of an eye” but never got the quest. The box will not give it to me nor did it auto pop for me.
This worked for me as well - thanks a lot!
To be clear - she is in the New Dalaran, so you have to fly there. 
As an update to this thread, if you can’t find the quest giver for “In the Blink of an Eye” quest any more, you have to go to the Warchief’s Command Board, and get the quest “Legion: The Legion Returns” then talk to Holgar Stormaxe outside of the front gate, and select the “I’ve heard this story before” option, it will then auto update to the “In the Blink of an Eye” quest for you to turn in to get the Dalaran Hearthstone.
“you have to go to the Warchief’s Command Board”
Legion option isn’t there. It’s never there. It’s BFA, Draenor or something else. It’s never Legion. Any other suggestions?
Note: I went to the innkeeper and got a hearthstone, but it won’t work. And I can’t continue the artifact quest chain nor open up my legion hall. 
Chose the wrong character to post with. Asking for lvl 50 belf Demon Hunter. I had the quest at one time… but one of the ‘troubleshooting’ steps was to drop it and reacquire it. Haven’t been able to find it since.
If it isn’t on the Warchief’s Command Board, you may want to talk to Chromie, and see if she has it. She normally is set up for the older ones like BC, Wrath, Cata and MoP where the Command Board is usually set up for the latest ones like WoD, Legion and BfA.