I'll start with my furthest back ancestor I am certain of...
JEREMIAH WILLIAMS ( 22 Aug 1683 - 15 May 1766)
Jeremiah Williams was born in Boston, MA to Joseph and Lydia Williams. He was the sixth of eight children for Joseph and Lydia. As a child, Jeremiah he was bound to a ship carpenter to learn the trade. Family lore says that Jeremiah moved with his master to Wilmington, DE. While he was an apprentice there, he left the Church of England and joined the Society of Friends, more commonly known as Quakers. The first appearance of Jeremiah in Quaker records is with the Rhode Island Monthly Meeting.
At a Monthly Meeting in Portsmouth
18th day 4th month 1706 (18 June 1706)
Thomas Conwell is appointed to Accompany friends to Long Island. Jeremiah Williams is also appointed to accompany women friends through the country.
In 1706, Jeremiah requested a certificate from the Rhode Island Monthly Meeting to remove to Philadelphia. The meeting records indicate Jeremiah was already living in Pennsylvania.
28th day 11th month 1706/07 (28 January 1707)
Jeremiah Williams requests of this meeting a certificate, he being now at Philadelphia & likely there to abide. Therefore this meeting do appoint Thomas Hix & John Heldley to enquire concerning his clearness as to marriage and conversation and make report to our next monthly men's meeting.
The certificate was granted to Jeremiah and the next month during the Rhode Island Monthly Meeting.
On 1 April 1708, Jeremiah married Philadelphia Masters (14 May 1684 – 06 May 1715) in Flushing, Queens County, New York.
The New York Monthly Meeting records the following in their minutes:
At a monthly meeting ye 4th of 1 mo 1707/08 at ye meeting house in fflushing.
Jeremiah Williams & ffiladelfia Masters appeared before this meeting & declared their intentions of Mariage wth eachother two women friends members of the womens meeting coming with then the man producing one certificate from Rhode Island and also one more from ffiladelfia both confirming his good behavior & conservation also his clearness from all women relating to marriage this meeting hath ordered them to come to ye next monthly meeting for their answer.
At a monthly meeting at ye meeting house in fflushing ye 1st 2 mo 1708.
Jeremiah Williams & ffiladelfia Masters appeared at the meeting being ye second time & declared their confident intentions of marriage this meeting upon good consideration being satisfied all things are cleared hath left them to their liberty to accomplish same according to the good order of truth.
Family tradition holds that Philadelphia received her name by being the first white child born in Philadelphia. George and Mary Masters were living in New York at the time of their pregnancy with Philadelphia. Late in her pregnancy, George and Mary made a trip from Long Island to Philadelphia, Pennsylvania. While they were visiting Philadelphia their daughter was born. Consequently the Masters family was presented a silver spoon from William Penn to mark the occasion.
Jeremiah and Philadelphia had two children prior to her death in 1715. They were:
Joseph (15 May 1710), Flushing, Queens, NY
Hannah (8 Nov 1711), Flushing, Queens, NY
After the death of Jeremiah’s wife Philadelphia, he married the widow Mary Newbury (Newberry) Howland of Providence, Rhode Island, on 11 Sept 1716. Mary Howland was the widow of Jedediah Howland of Providence.
The Rhode Island Monthly Meeting records the following regarding their marriage:
31st day 5th month 1716
Jeremiah Williams of Long Island & Mary Howland of Newport widow appeared before this meeting & signified their intentions of marriage with eachother if the Lord permit & with friends approbation this meeting desired them to wait until next monthly meeting for answer & Thomas Richardson & Joseph Borden are desired to take case that the estate in the widows hands be settled according to the devise of the testator Jedadiah Howland.
28th day 6th month 1716
Jeremiah Williams & Mary Howland appeared before this meeting for answer & nothing appearing by the return of the friends appointed to hinder their intentions they are therefore left to their liberty to consummate their marriage in the desent order of truth having a sartificate of their proceedings with not left them twelve friends hands to it & Thomas Richardson & Joseph Borden are appointed to take case that the marriage of Jeremiah Williams and Mary Howland be consummated in the desent order of truth and they to make report to the next monthly meeting.
25th day 7th month 1716
Friends appointed make report that the marriage of Jeremiah Williams & Mary Howland was accomplished in the desent order of truth.

Jeremiah and Mary began their married life in Hempstead, Long Island, New York. There Jeremiah ran a mill and store, which he had purchased 5 July 1715 at Hempstead Harbor, Nassau Island, Queens Co, New York from John Robinson.
In 1743 Jeremiah and his family moved to Hunterdon County, New Jersey, residing near Quakertown. Jeremiah was involved in the establishment of the Kingwood Monthly Meeting in 1744 and later chosen to be an elder. In 1758/59 Jeremiah and his extended family moved to Nockamixon Township, Bucks County, PA. The 500 acre tract that they purchased was bounded to the east by the Delaware River. Jeremiah and Mary had the following children:
Ann Williams (17 Jun 1719), Hempstead, Long Island, NY
Walter Williams (17 Dec 1720), Hempstead, Long Island, NY
Benjamin Williams (4 Nov 1722), Hempstead, Long Island, NY
Mary Williams (26 Nov 1724), Hempstead, Long Island, NY
Jeremiah Williams (18 May 1726), Hempstead, Long Island, NY
Lydia Williams (6 Feb 1729/1730), Hempstead, Long Island, NY
Martha Williams (Abt 1731), Hempstead, Long Island, NY
Jeremiah died in Nockamixon Township, Bucks County, PA, on 15 MAR 1766 at the home of his son Benjamin. He is buried at the Kingwood Meeting Cemetery, Hunterdon County, NJ.
The Kingwood Monthly Meeting wrote the following Memorial for Jeremiah upon his death.
Our antient friend and Elder Jeremiah Williams came to reside amongst us Recommended from a Monthly Meeting of friends on Long Island as an Honest Sober and orderly member of our Religious Society in Unity and many years he was a servisable member and a Diligent and Constant attender of our meetings for Worship and Discipline, until he Suffer’d his mind to be too much Cast Down under the Thoughts of Some Disappointments and Troubles he meet with. He did not attend our Meetings So Constant as he had heretofore Done but we have Good reason to believe Some time before his Death he Witnessed in a great measure and overcoming his former Troubles and Exercises. He was a generous and kind open Harted man in Entertaining Friends and such as Travel abroad in the Service of Truth. Some time before his Death he was attended with many bodily afflictions, being helpless above too years, which he bore with Great patience. Sometimes he would say could I think I am like Job, he being attend with many ails; often desiring to be Deliver’d if it was the Lord’s Will. He Departed this Life at the House of his Son Benjamin in Penna. With whom he had Liv’d for some years, on the 15th. Day of the 5th month 1766 aged 83 years wanting about one month and was Decently buried in friends burying Ground at Kingwood.