I extracted the records of all the men baptised Humphrey Atherton in the early 17th Century in Lancashire.
I posted them all on this site and I came to the conclusion that Humphrey son of Edmund, baptised in Upholland in the Parish of Wigan in 1607 was the Humphrey that went to America.
Not everyone agrees with me.
I found the Will of his father in the Atherton Manuscript Collection, but I forget the name of Humphreys mother. I will look this up, her name may have been Elizabeth . I looked at 500 or more documents.
There is no place named Minwick in England and I thing what is meant is Winwick . The Winwick Athertons were my ancestors and still Roman Catholic in the early 17th Century.
If you read all of the notes I posted you will see how and why I drew my conclusions.