Shinigami no Ballad.

Synopsis

Chiaki Kazama, a junior-high school student, is trying to keep her family going by filling in for her mother who recently died. She takes up the role of waking up her father and younger brother Fuyuki and making them breakfast, but cannot quite make French toast like her mother could. Their father leaves on a business trip for a couple of days, and soon after Fuyuki tells Chiaki that he saw a shinigami in his room and even played with her. This unsettles Chiaki, thinking that he is going to die soon, but later meets the shinigami Momo and finds out that she and Daniel are merely babysitting Fuyuki for the time being due to Chiaki's mother worrying about her. Through Momo, Chiaki is able to talk with her mother again, and even learns how to make French toast like her. The next day, a boy from Chiaki's class named Nakayami, who previously showed concern for her well being, comes to meet her in the morning, and the two walk home to school holding hands.

(Source: Wikipedia)