Mike, I do not know if I can provide you with the information that you seek and I hope I did not insult you with the questions I asked after your previous posting.This is not rock-solid, but I will give the sources that I have:
In the New England Historical and Genealogical Society (NEHGS)Register published in January 1849, there is a List of Freemen in the Massachusetts Colony stating (on page 95) that Humfrey Atherton took the oath of freemen in May 2, 1638.So, he would have arrived prior to that time.
In the NEHGS Register published in October 1851, Humfrey Atherton is listed as one of the male inhabitants of the town of Dorchester in 1641.Also in the NEHGS Register published in Jan 1857, Humphrey Atherton is again listed as brother-in-law of Nathaniel Wales in Nathaniel's will.
Here is my transcription of Humphrey's will from the NEHGS register in April 1878.It is long but contains the names of his heirs.New England Historic Genealofical Society Register
Vol. 32 pp 197 - 204 published April 1878
Abstracts of the Earliest Wills on Record, or on the Files in the County of Suffolk, Massachusetts
Prepared by William B. Trask, Esq of Boston
Abstracted by Sharon Fitzpatrick June 2004
Humphrey Atherton was appointed by His Excellency Joseph Dudley, Esquire Governor, Administrator on the estate of his grandfather, Major Humphrey Atherton, of Dorcester, deceased, Oct. 27, 1715.
On October 1, 1716 Humphrey Atherton paid Ebenezer Mawdsley 14 shillings for two days work at subdividing and showing the lines of his lots of Ceder Swamp Medow and upland.
June 6, 1717.Inventory of Humphrey's grandfather's "Comon Rightes" in Dorchester - one grant contains 198 acres, some poor swamp lots, an upland lot of 125 acres.
July 22, 1717.Paid 20 shillings to James Blake, Jr., Thomas Tilestone, Phillip Withington for 3 days service to view and apprize the remaining part of Humphrey Atherton (dec) estate.
The administrator's account was rendered and approved Sept. 26, 1717.
Humphrey Atherton gives bonds Oct 9, 1717 to pay the heirs their portions.
March 3, 1717/18 - There was a deposition of WIlliam Royall and Mary his Wife that they live near the burying place in Dorchester and that they know that about 14 years ago Major Atherton's tomb was fallen all down and lay in "a shameful manner" and was built up again by his grandson Humphrey Atherton and it now stands in "a decent manner".
Humphrey stated that he was ready to give in a true and just inventory of his grandfather's estate yet remaining excepting nine acres of meadow at Burnt Swamp in Dorchester which though the numerous descendants of his grandfather want brought into the inventory.However, Humphrey says that it would to his wrong to insert it into the estate for the following reasons: about 14 years ago his grandfather's tomb was much out of repair and Samuel Wales and others of the selectmen of Dorchester told him that since his grandfather had been a Major General and ".. in his day a Person of Considerable Figure and Repute, It was a shame his Tomb should ly (sic) in so ruinous a Condidtion and Moved that his heirs would repair the same".Humphrey asked several of them to join him but they said he was the next heir and the only person who bore his name, so he should do it.So, Humphrey made the repairs at his own cost.In October 1704 he explained this to the public meeting and obtained a proprietors vote that the said 9 acres of meadow should be given him as payment for repairing his grandfather's tomb.He has cleared and improved the land ever since and asked that it be excluded from the inventory.
Judge of Probate Samuel Sewall agreed that the land belonged to Humphrey and could be excluded from the estate March 3, 1717.
In August 1717 there is another piece of correspondence from Humphrey to Judge Sewall about the inventory of a swamp which supposedly has already been allowed him and for which he has paid more than it was valued at.He reminds the judge that he was examined 12 months earlier by Judge Sewall concerning his grandfather's children and that they all acknowledged him to be the true heir to his grandfather's estate.Humphrey states that he has advanced for his grandfather, since his decease, 5 pounds, " ... but neither of these Children would Contribut one farthing ..." although the expense can be proved to be an act of pure charity and appeared to be required by the chief men of the town.
October 9, 1717: Response of Judge Sewall mentions that Humphrey Atherton, administrator of his grandfather's remaining estate, has asked to have what remains of the estate "Apprized" in order that the heirs may have their just shares "(the same being incapable of a Division among them, without great prejudice thereto)".Three men were assigned to make the appraisal.
"And Whereas the said Humphrey Atherton, the Administrator and Eldest son of Consider Atherton, deceased, who was the Second Son of the said Humphrey Atherton, deceased, hath accepted of the said Estate at the Apprized value thereof, The Heirs of Jonathan Atherton, deceased, who was the Eldest son of the deceased Humphrey Atherton, who hath the refusal by Law, declining to take the said Estate at the [Estimation] made ...", Judge Sewall granted the land to Consider's son, Humphrey, who will pay the other heirs their ratable parts and shares of the apprized value after deducting 10 pounds 5 shillings for expenses.
That is to say
To the heirs or assigns of Jonathan Atherton, deceased, the sum of 14 pounds 6 shillings and 9 pence (as their double portion)
To the heirs of Hopestill Atherton, deceased, 7 pounds 3 shillings and 4 pence 1/2 penny NOTE: name normally written Hope
To the heirs or assigns of Watching Atherton, Elizabeth Mather, Rest Swift, Margret Trobridge, Isabel Wales, Mary Weeks, Patience Humphrey, all deceased, and to Thankfull Bird, the only surviving daughter of the said Humphry Atherton, deceased, 7 pounds 3 shillings and 4 pence 1/2 pennyNOTE: one document lists Watching as Waiting
to be paid within one year with interest of 5 %.Judge Sewall required that each give bond with surety in case debts appear after this and the administrator needs to be repaid.
On May 17, 1718 Benjamin Bird, son of Thankful Bird, one of the daughters and heirs of Major Humphrey Atherton then petitions the court complaining that Humphrey Atherton, grandson and administrator of the estate, has omitted from the inventory 125 acres of upland.This upland was given as an addition to the same quantity of upland in the Twenty five Divisions of Land in Dorchester, it being part of the 35 lot and given by the committee who laid the whole 250 acres out in consideration of the badness of the Land.Benjamin also contends that Humphrey (administrator) has neglected to inventory 5 acres, 3 quarters and 17 rod of meadow land in Dorchester and that he holds said lands not inventoried because they were settled upon him by the judge.Benjamin furthermore states that Humphrey (administrator) received 22 shillings of Samuel Wales, which he received for lands sold, left of the 6 Divisions of Dorchester, belonging to the said Major Atherton and he has not credited the estate with this amount.Benjamin asks that Humphrey be summoned to appear before the court to address these issues.
A citation was issued for the administrator to appear before the Honorable Samuel Sewall, Esq.on June 9th.
There was another citation to appear before Samuel Sewall dated Nov 30, 1724 for failing to make a true and perfect inventory of the said Dorchester estate.
The remaining estate was appraised Feb 1, 1724/25.On Feb 11, 1724/25 Humphrey Atherton said that the additional inventory was a "true and perfec aditional Inventory of the estate of Major Humphrey Atherton, of Dorchester" to the best of his knowledge.
"[Benjamin Bird, Yeoman, Obadiah Swift, Blacksmith, & Richard Withington, Yeoman, all of Dorchester in the County of Suffolk gave bonds ....]" in the sum of 500 pounds - Oct 26, 1730.And at that same time Benjamin Bird approved a payment to his cousin, Humphrey, for various sundries.
Hope this helps a little.