Hi Linda. Some further research in my Grandmother's unpublished manuscript (Thomas and Julia)uncovered another miller in Oakland Ontario named Charles Vivian - also a decendant of Stephen Vivian of Cornwall (Likely Mouseholl who was married to Robella). He owned the grist mill around "Oakland Pond"
To Sum up:
The Stephen Vivian that was my Great-great grandfather( born in Mousehole, Cornwall, England, came to Canada, married Eliza Jane Waugh and died in 1885 In Oakland) was a millwright by trade. He had 4 sons Charles, Franklin, William and Wellington as well as three daughters Julia (McEwan), Robella (Goold) and Beatrice (Burtch).
He had a one Cousin, who ran a sawmill in Oakland Ontario, Canada, named Stephen Vivian who drowned while "log rolling" becuase he couldn't swim.
He had another cousin, Charles Vivian, who came to Oakland from Cornwall before my Great-great-grandfather and ran a grist mill in Oakland Canada. It was he who told my great-great grandfather to come to Canada as there was plenty of work for a millwright.
All of these men are decendants of Stephen Vivian of Mousehole in Cornwall who lived in "Vivian House" on "Vivian Terrace" He and his wife Robella had 12 Sons and daughters, each of which named a son "STEPHEN".
I trust this reduces caios to mere confusion, but I still cannot place a "Payson" Vivian unless it was the father or son of either of the Vivians that owned and/or ran the mills!