I looked again at Griffith’s pedigrees for the Voelas family(page 326)
They do use cadwaladr and maurice combination.
There’s a Cadwaladr ap Maurice alive 1545, died 1611. His sons then should’ve been ‘ap cadwaladr’ but at this time a nice chap called Bishop Rowland Lee insisted that they should adopt surnames. Bishop Rowland was not a man to be messed with and, to put it mildly, disliked Welsh people.
The family then adopt Wynne as a surname. They may’ve also used Maurice or Morris as a patronymic surname locally.
The cadwaladr name reoccurs until the last one, Cadwaladr Wynne ( marries 1716)
Your man could be related to this family, he could be a illegitimate son that used the morris surname instead of wynne. They often did this. This was a time that illegitimate children were recognised because it was more shameful to allow the parish to look after them.
Just a theory!