Tsuyukami
Tsuyukami was one of the wandering spirits who sought residence in an old shrine. His powers tied to it, human prayer would give him strength. By the time he visits Natsume to regain his name, however, most of the people who prayed to him had already passed on, leaving only one; an elderly lady by the name of Hana.
Not long after he regained his name, Hana passes on, and, in turn, so does Tsuyukami. Natsume offers to keep visiting the shrine offering gifts and prayer, but Tsuyukami turns it down, preferring to go with Hana.