Could Monia be a form of
Monica just like
Mona is?
I myself would think so.
MONICA (f) Either "advisor" (Latin) or "alone" (Greek) or possibly an ancient African or Phoenician name. Saint
Monica was the mother of Saint
Augustine .
Patterson is easier however since it definatly means:
Son of Patter. Yet, it is a surname used by both men and women.