The Mysterious Blacksmith / The Fox Gives Birth / Senkamejo

"If I can make a hundred swords in a night, give me your daughter," a traveler says, and locks himself in a blacksmith's forge. There was a mean doctor who lived in a village. One night, he goes to a mansion to save a young girl who's having a hard birth. Senkamejo grew up spoiled by her mother, and was the prettiest girl in town, but selfish and arrogant. One day she hears that a beautiful statue of Kannon-sama is at the temple, and she and her mother go to see it. Source: crunchyroll