Anime about mother and child
about a mother and her small child
Some of the titles of the anime movies that have mother and child characters are medarot, Hoshikawa Akane, Inazuma Eleven GO and Shindou Mitsuko. The movies either involve the life of the mother with son or daughter or the entire family.
That's rare. When you think about it there aren't to many anime moms that survive through a whole series. I mean, just think about it.