Thanks to the Doman shinobi, the Ivy's effort to elude your grasp has failed, and you hurry to the East Shroud.
This quest is available if you have completed the quest Chasing Ivy.
Starting the Quest
Talk to Ilberd in New Gridania to begin the quest.
Speak with Ilberd
Use an aetheryte to go to the Lancers' Guild. Go east from there to the ferry dock and speak with Romarique. Purchase passage to Sweetbloom Pier (it's free). Speak with Ilberd there to proceed. There will be a cutscene.
Speak with Yugiri
Go southeast to where the orange arrow is pointing in the minimap. Speak with Yugiri to proceed.
Speak with Yugiri at the Bramble Patch
Go northeast to where the orange arrow is pointing in the minimap. Speak with Yugiri to proceed. There will be a cutscene.
Speak with Yugiri Again
Talk to Yugiri to proceed.
Speak with Minfilia
Go to Revenant's Toll in Mor Dhona and enter the Rising Stones. Go into the Solar and talk to Minifilia to complete the quest.
Next Main Scenario Quest
After you complete the quest, talk to Minfilia to accept the next quest: A Simple Plan.