Minfilia asks you to entrust her father's journal into Urianger's care.
This quest is available if you have completed the quest The Gifted.
Starting the Quest
Talk to Minfilia in the Waking Sands in Vesper Bay in Western Thanalan to begin the quest.
Give Warburton's Journal to Urianger
Exit the Solar and go north. Talk to Urianger and hand over the journal. There will be a cutscene.
Speak with Tataru
Go to Revenant's Toll in Mor Dhona, and talk to Tataru near the Aetheryte. There will be a cutscene.
Speak with Minfilia
Go south from the Aetheryte and go through the doors into the Seventh Heaven. Check on the Rising Stones Entrance to enter the Rising Stones. Go straight ahead and check on the Entrance to the Solar to enter the Solar. Talk to Minfilia to complete the quest. There will be a cutscene.
Next Main Scenario Quest
After you complete the quest, talk to Minfilia to accept the next quest: Still Waters. There will be a cutscene.