My guess is that it is a variation of Domicia (Latin: Domitia), perhaps inspired by the names Demi and Demetria.
This, or a contracted form of Demetricia (which I guess is a combination of
Demetria and
Patricia or an other name ending in
-cia).
"It is no measure of health to be well-adjusted to a profoundly sick society." ~ Jiddu Krishnamurti (1895-1986)