For the Snark Was a Boojum, You See

Tarō had a long OBE sequence where he sees Miyako in bed with fever and meets Snark in the Unseen World. He goes with Masayuki, Makoto and Michio to her house. When he mentions what Miyako said in her possessed state, her dad becomes afraid and tells them to leave. At the bottom of the shrine steps is Makoto's grandmother's handmaiden.

Synopsis excerpt via Kitsu.