Your client is Dolce, a little girl who asks you to find her missing Carbuncle Doll.
You will find Dolce in the North Station Plaza, where you have met the Inquisitor during the first side-quest.
The Carbuncle Doll is also easy to find, being located close to the area where you find Dolce, and the following walkthrough will explain how to find the missing item and how to complete The Things She’s Lost side-quest.
“A tearful Dolce tells Lightning that she has lost her prized treasure, a green Carbuncle doll, somewhere near North Station. Perhaps Lightning can find it – but it won’t be easy, if the toy has come into contact with another dimension”
Requirements: Complete the quest between 9 PM and 6 AM
Rewards: 100 Gil, HP + 30, Magic + 3, Carbuncle Figurine
From the beginning you have to be aware that Dolce will not appear in North Station Plaza, unless the clock hits 9 PM.
She is wearing a green dress and she is usually playing close to Canvas of Prayers board.
Talk to her and accept the quests to trigger the side-quest. Next open your map to locate the Carbuncle Doll. As shown in the video above, when you open your map, east from your current position (North Station Plaza) is an alley leading to Old Town.
Follow the said alley, by turning right after the first gate, and you will enter Gate Of Revelation. Continue forward, to enter Temporary Route.
At the end of the Temporary Route, turn left and then right to reach the Marketplace. Stop near the vendor named Seger and look around his store for several crates.
On them, you should see a green doll similar to a parrot. Pick up the Carbuncle Doll and return to Dolce to receive your rewards.