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Distraught about the disappearance of his daughter Chun, he closed the Sasa Sanctuary's inn and would not let anybody else in until Chun was found. Amaterasu found Chun in the house of the Mr. and Mrs. Cutter, where they planned to eat the young sparrow. Amaterasu battled the evil couple in their true demonic forms and saved Chun. With the safe return of Chun, the Sasa Sanctuary was open to visitors once again.
Spoilers end here.
Jamba and the rest of the Sparrow Clan are based off the Japanese tale, Shita-kiri Suzume.
He is probably named after Jabba the Hutt from the Star Wars universe.
↑ 1.01.1"Crybaby Tai: Jamba's son, he was spoiled by his older sister Chun as a hatchling, and is therefore quite immature. The Sparrow Clan's underlings are often worried about Tai's childish ways."—Image Scroll of Those from the Road, p.39 (Ōkami Official Complete Works)