Maybe this helps with the etymology…
In ancient Greek we see στοιχεῖον: one of a row or series; the shadow of the gnomon or sundial; a letter of the alphabet. This is from στοιχέω, to go (in line or order).
From this we get στοιχητής which means stable, one who keeps going back and forth in one place; perhaps from this comes a presence that stays in or haunts one place.
well i am greek and i will try to explain it as best as i can. στοιχειωμένος means haunted because it comes from the verb στοιχειώνομαι (i am haunted) which is the passive voice for στοιχειώνω (haunt). In general -μενος = -ed