Patrick,
I'm studying Iredales in Cumberland and was interested to read about Thomas.
There was a Thomas Iredale bap 16Feb1673/4 at Workington in Cumberland. His father was Martin Iredale who was buried at Workington 18Nov1675 . I wonder if they are the same chap. I have no further record of this Thomas so it is possible he emigrated.
The earliest records I know about for my branch of the family were at Workington when John Iredale married Sarah Wilson 26Oct1688. Although I have no confirmation of it I guess Sarah Wilson was daughter of the Quaker Christopher Wilson from Greysouthen.
There was also an Ann Iredale who married Daniel Bell at Workington 19Nov1678.
It seems likely that Thomas, Ann and my John were related, but I don't know how.
Do you have any further information about the early life of your Thomas?
Incidentally, in case you don't know, Paidsaybragg is really Pardshaw Crag where there was an early Quaker meeting place.
Edgar