The Small Baton is a quest item that can be bought in Atai City for 35 Rai. It is too small for Gale to use as a weapon, but it can be given to a couple NPCs for sidequests.
Sidequests[]
Hachiko at the Sunflower Road's inn will want one for protection and will reward Gale with a Heart Ruby. A Harpy child at the Hidden Village wants to be a pirate and will accept a baton in exchange for 120 Rai.