As for Thomas Iredell's parents, I obtained that information from The Biographical Annals of Montgomery County, Pa. I can not find the original Xerox copies, so I am not sure what the page numbers are. But here is an excerpt :
ROBERT IREDELL, for many years editor and proprietor of the Norristown Herald and Free Press, and for nearly a quarter of a century the postmaster of Norristown, was born October 15, 1809, at the family homestead in Horsham township, Montgomery county, Pennsylvania....
Robert Iredell was a lifelong member of the Society of Friends. His immigrant ancestor, Thomas Iredell, was the first of the family who was a Friend, his father being Robert Iredell, of Rigg Bank, England, whose wife was Ellinore Jackson. According to the record, the son, Thomas Iredell, the immigrant, was baptized in 1676, corroborating the certificate in the statement that his mother was “no Friend.”
I will send you the MS Word document containing the entire write-up for Robert Iredell.
Patrick.