When asked if she has any duties for you, Mages Guild Apprentice Amelphia Tarramon in the cellar of the Old Ebonheart Mages Guild will send you to restock the Guild's alchemical supplies.
You can get the Hamum Root from Kassad in his shop in Old Ebonheart, while amethysts can be obtained from the Fetcher's Pawn.
Ornada Eggs are difficult to find legitimately, so if you don't wish to leave the city, they can be most easily stolen from Roran House on the street by the city's southern gate.
Return to Amelphia with the ingredients to finish the quest.
A quest stage indicating that three Hamun Root samples are required is a leftover from a previous iteration of this quest, where there were more variants of the root.
The following Journal ID and Index codes can be used with the Journalconsole command to manually update the quest to a certain point.
Restocking (TR_m3_MG_OE_Restocking)
Index
Finishes Quest
Journal Entry
10
Amelphia Tarramon is looking for alchemical ingredients to restock the Old Ebonheart Mages Guild stores. She has asked me to get two Ornada Eggs, one Hamum Root, and one Amethyst.
15
Amelphia reminded me that she wants three DIFFERENT samples of Hamum Root. I may have to gather several to compare.
20
Finishes quest
I delivered the ingredients to Amelphia Tarramon. She thanked me for my help.
30
Finishes quest
Arquebald gave me some gold for helping Amelphia Tarramon replenish her stores.