Its has been over 12 months since you replied to my original message on Humphrey Atherton and if you are still interested in "unlocking the true picture of his family" then I think you will be interested in the following.
There are two articles recently written on Humphrey Atherton on the "Atherton one-name study site", one by Mike Atherton and one by myself.
The first one by Mike Atherton shown as "Major General Humphrey Atherton" gives information confirming that he was the same Humphrey as born in Winstanley, Lancashire in 1607, son of Edmond.
The second written by me gives information about Humphrey's family in England in Lancashire, included in this is a transcription of Edmond Atherton's Will of 1613, Humphrey's Father. This article is called "Humphrey Atherton in Winstanley 1607-1661"