This is technically for wizards/sorcerers who wish to join the Many-Starred Cloak. Just gather the necessary items requested by Eltoora and you're on your way. If not, then this quest won't be accessible to you. The Wizard Labs where the items are located are scattered in the four areas of Neverwinter. Like the Never's Tomb quest, I opted to do this in order. So it doesn't take too much time.
The Labs are marked by a sundial before their doors and will all be guided by imps or mephits. Be careful. Once you're defeated them you will be able to get what you need. (Rare earth clay, kindling wood, flask of water, puff of fog) Notice that the items are also in the order of the advices by Aribeth in searching for the creatures.
Wizard Lab in Northeast Peninsula District - the Earth Mephit guides this lab. Defeat it and grab the rare earth clay from the pile of rocks to your side.
Wizard Lab in Northwest Beggar's Nest District - the Fire Mephit blocks your path. Fight it and claim the kindling wood inside the lab.
Wizard Lab in Blacklake District Mid-East - finish off the Air Mephit and grab the Puff of Fog from the lab
Wizard Lab in Dock’s District Mid-East – finish off the Water Mephit and get a flask of water.
Once you collected all the items, go back to Eltoora and begin your trials. Be mindful of the order as that is how you will be able to defeat the Minogon, by casting the spells in order. (Earth, Water, Air and Fire elements to be exact). Once you've passed this, congratulations are in order