In Winhill there's a side quest where you must find vase pieces. Enter the mansion in the back of Winhill and speak to the old guy on the steps. He'll tell you that his precious vase is missing. You'll get a reward when you have found all the vase pieces. There are 4 vase pieces to find.
Piece 1 - Inspect the suit of armor at the bottom of the steps in the mansion. Nothing happens until you run away from it and the suit collapses. A Chicobo scampers out, dropping the first piece of the vase as it does so.
Piece 2 - Enter the pub and take the stairs up. Speak to the old woman up here a few times and eventually she mentions the flowers downstairs. Inspect the flowers in the bottom right-hand corner of the lower floor to make the ghost of Raine appear. Speak to here and she turns into a cat. Inspect the cat for the vase piece.
Piece 3 - Head out of the main square and enter the flower shop on the left. Inspect the white flowers at the bottom of the screen and the old lady tells you where she got them. Say you like them and inspect them again the find the third piece.
Piece 4 - Head further out of town and you eventually reach the Chocobo crossing. A Chicobo keeps scurrying across the lane and if you hit the X button at the right time you kick it up into the air. The first time you do this you'll receive the final vase piece. Two more kicks will give you some Gysahl Greens and a Phoenix Pinion. A couple times more will attract the attentions of an angry Chocobo parant.
If you found all the vase pieces head back to the mansion and speak to the man. You need to speak two times to him as the first time he doesn't realise that he has all the pieces. You'll get a Holy Stone.