EDITOR's NOTE: This quest appears to have been disabled in-game. The spoiler is remaining here temporarily in case the quest is reactivated.
This is the second part of a series by Fawn Starstone in Starcrest Commune. She gives this after you have completed the first.
You must gather 3 Octopus Beaks in Antonica. These drop off Coldwind Octopi. Coldwind Octopi spawn off shore near the Oracle Tower.
Return to her after you have gathered the beaks for your choice of rewards.