Hi, I know a bit about this. I am a descendent also of Richard Wyatt, who was given the family crest. I still have it here at home if you would like me to get you a copy. I can tell you Richard Wyatt (1689-1753) married Susanna More Molyneux and through that line, following largely the mothers, we're descended also from the Plantaganets (King Edward). Happy for you to take a look at the tree I've worked on. My family are also in Australia.
My grandfather Ransome Tovey Wyatt came to Australia as a young man and had two sons. He was descended from Robert Burkitt Wyatt, son of Robert Wyatt. I am trying to piece together the link between Robert Wyatt and Richard Wyatt, which must only be one or two generations. I'm sure the link is there because of the coat of arms. Do you have any info on the sons of Richard Wyatt and Susanna?
What is the DNA test thingy? I have a brother, Tim Wyatt and a couple of Wyatt sons. Our Wyatt name will die out with them as all have girls.