/t/ - Theories

Mado (まど), meaning window, both looks and sounds very similar to madou/madō (まどう), meaning magic or sorcery; generally of the dark variety.

The Japanese like puns, right? So what if her name is a pun? What if Madotsuki is a sorceress, most likely of the dark variety? And what if her "dreams" are voyages to other realms, most likely the land of the dead, or perhaps the Elemental Plane of Shadows?