Eddie,
AC Myers is pretty much the only/main source for all of the assumptions that have become so entrenched here. But let's look at his quotes in detail. It is *not* JUST a list of certificates, but is created "With Genealogical Notes from Friends' Records of Ireland and Pennsylvania, Genealogies, County Histories, and Other Books and Manuscripts."
In the Newark/Kennett monthly meeting section, her starts William's entry off with the Lurgan monthly meeting record of the William Dixson/Isabelle Rea marriage, witnessed by Henry and Rose. He then states: "This, no doubt, is the same family that came over to New Castle Co., prior to 1690. Henry Dixson, it is said, kept an inn at New Castle and had three children:"
(emphasis mine)
He is no longer working from meeting certificates here. It is pure hearsay and conjecture. There is no source cited for the innkeeper data. That is why I consider the Henry/Ireland connection to be controversial. I have an entirely new G2G thread on that topic...