Kaibyō Koi-ga-fuchi 1987 on netflix

The sisters lived near a pond called Koigafuchi, near Edo, and kept a father-and-son cat named Tama and Kaze. The elder sister, Oichi, was discovered by a samurai named Kazuma who rescued her when she had fallen ill, and she was sent to serve him at his mansion in Edo, but this was the beginning of her misfortune.