Anne no Sekai Chizu: It's a small world

Anne is a young girl who was raised in a garbage house by her alcoholic mother. She wears Lolita clothes and fights every day. One day, Anne had a conflict with her mother and ran away to Tokushima, where her grandmother lived. There, he meets Aki, a mysterious girl wearing a kimono, and they start living together. Ann's world expands as Aki, who kindly watches over her, leads her by the hand. (Source: Akita Shoten, translated)