I am sorry to hear that you disagree with me. Have you gone back and read Meredith Colket's article? Read the article, and then if you have evidence or a logical explanation to disprove his contentions then you have a basis for disagreement.
But as it stands, those of us who descend from John, Jr. who was possibly baptized 26 Dec 1682 in England, the son of John and Anna, have no claim to a descent from the Mumfords and Shermans.
To prove otherwise, find a reference in early colonial American records to the given name of John Kenyon's wife, naming her Anna. To date no one has found a reference at all to any given name of John Kenyon's wife in America.
Another approach would be to find a birth record or other indication that John Kenyon Jr. was born in America and is not the same person as the John Kenyon baptized in London as the son of John and Anna.
As for the other sons of the first John Kenyon, we do not know which of John's wives were their mother. The 1712 brother-in-law deeds in South Kingstown only establish that John was married to a Mumford in 1712, but the other sons were all born ca 1684-1695.