John Nunn - Disputed relationships

From https://www.wikitree.com/wiki/Nunn-275

Various sites on the internet claim that Francis Nunn Sr. of this profile was the son of John Nunn (Nunn-277) and Mary Richardson (Richardson-4665). Peter Nunn (Nunn-1558) and Thomas Nunn (Nunn-294) are often claimed as Francis Nunn Sr’s sibling in these unsourced pedigree sites. Although occasional variations appear, alleged father John Nunn is generally shown born c. 1660 in Lancaster County Va. and his wife about 1665 in Maryland. The two allegedly move to Chesterfield County, Virginia area. Chesterfield County was created in 1749, but most of these pedigree sites ignore that and claim earlier events there. There were Nunns in Chesterfield County, Virginia in the 1700’s. However, nothing appears to connect them to Francis Nunn Sr. of this page, other than someone, at sometime, “squeezing” him into the family in their pedigree, followed by others copying the claim in their own unsourced pedigrees.

The book “John Nunn, Revolutionary Soldier…” deals mostly with Francis Nunn Sr.’s grandson John, but chapter one deals with Francis Nunn Sr and the next two chapters with his sons William and Francis Jr. On page 1, this book reiterates the statements in “Nunns of the South” stating: “There are numerous records of Nunns arriving in this country before 1623. And they continued to come here through the years. Most of the early ones settled in Virginia and New England and apparently were a distinctly different group from the ones that originally settled in the Carolinas. There is a wealth of material available on the Virginia Nunns. As yet, none of the family researchers has been able to tie the two groups together in this country. No doubt they have common roots in England, but evidently not here.”

Are we sure this John Nunn wasn’t an immigrant to Maryland?

John Nunn in the U.S. and Canada, Passenger and Immigration Lists Index, 1500s-1900s < AncestrySharing > Name John Nunn Arrival Year 1673 Arrival Place Maryland Primary Immigrant Nunn, John Source Publication Code 8510 Annotation Index from manuscript by Arthur Trader, Chief Clerk in the Maryland Land Commission, 1917. And see nos. 4507-4511, Land Notes.

What evidence supports him as son of John Nunn