Finally found the Jonathan son of Matthew and Sarah I saw in the church records.
Matthew Fairchild
Jonathan Fairchild
According to the DAR, this Jonathan married Sarah Howell.
https://services.dar.org/public/dar_research/search_adb/?action=ful...
I found two Abraham Fairchilds, the one who died in 1754 (widow Hannah), who left a will, about whom we know very little;
and the later one who was a veteran of the Revolution. He had son John who married Lucy Kitchel.
https://services.dar.org/public/dar_research/search_adb/default.cfm
And in what is to me a very rich resource, "The Name and Family of Fairchild", I see one JONATHAN (not "John") Fairchild family in the 1790 census for LUZERNE County, PA.
The 1790 NJ census was destroyed and is sadly unavailable for research/comparison.
https://www.census.gov/library/publications/1907/dec/heads-of-famil...
I don't find either of them in Findagrave. But there is this, again from the Name and Family:
JOHN FAIRCHILD, or JONATHAN FAIRCHILD, of Luzerne County, Pennsylvania. In May, 1940, Milton J. Fairchild of Sigourney, Iowa, loaned the writer of this genealogy a copy of a printed genealogy of the branch of the Fairchild family from which he descended and which indicates that his branch descended from an immigrant in Connecticut who emigrated from England and settled in Connecticut, by the name of JOHN FAIRCHILD,
and that his branch of the family did NOT [my emphasis] descend from the original Thomas Fairchild, one of the founders and settlers of Stratford, Connecticut, in 1639.
This genealogy was prepared by Eunice Fairchild Spear and was published under the direction of the Fairchild Family Association of which John M. Fairchild of Berwick, Pa., is president and Charles L. Farchild of Nanticoke, Pa., is secretary.
The work traces the descendants of the said John Fairchild down to the present generation and supplies the names and places of residence of most of the descendants of the said John Fairchild.
The writer of the present work calls attention to the fact that the time and place of the alleged immigration by this John Fairchild into Connecticut are not stated, and further calls attention
to the fact that while the compiler of the genealogy of this Pennsylvania branch of the family alleges that this John Fairchild had four sons and perhaps one daughter and that they moved into Luzerne County, Pennsylvania, soon after the Revolutionary War, yet the first census of the United States taken in 1790, and seven years after the close of the war records only one head of a family in all of Pennsylvania by the name of Fairchild and that was Jonathan Fairchild in Luzerne County, Pa., who apparently had four free white males in his family under 16 years of age, and two females, one of which probably was his wife and the other probably was his daughter.
[I don't follow the author's logic in disputing the family origins, but there you have it.]
For the above reasons it appears to the writer of this work that this family in Luzerne County, Pa., when the census was taken in 1790, must have been the descendants of the original Thomas Fairchild who settled in Stratford, Connecticut in 1639,
[Is that reason enough? I'm not so sure.]
and very probably this Jonathan Fairchild was the ancestor of the Fairchilds now in Luzerne County, Pa.
[That does make sense.]
On the first page of this genealogy by Eunice Fairchild Spear is the following:
"The descendants of JOHN FAIRCHILD, who emigrated from England and settled in Connecticut. After the Wyoming Massacre, in 1778, they moved to Luzerne County, Pa.
There were four brothers and one sister. (Apparently the same family reported by the 1790 census as the family of Jonathan Fairchild.)
(1) ABRAM FAIRCHILD, who had three or four sons; two of whom were, MOSES FAIRCHILD and GEORGE FAIRCHILD. They moved from Newport, Luzerne County, to Ohio.
(2) PETER FAIRCHILD, who had one son, WILLIAM FAIRCHILD.
(3) JOHN FAIRCHILD, who had four daughters and four sons: MARY FAIRCHILD SOLOMON FAIRCHILD JANE FAIRCHILD JOHN FAIRCHILD RACHAEL FAIRCHILD JACOB FAIRCHILD
ELIZABETH FAIRCHILD PETER FAIRCHILD
(4) SOLOMON FAIRCHILD, born Oct. 17, 1788: died Sept. 16, 1857, had thirteen children: POLLY FAIRCHILD PRISCILLA FAIRCHILD ANNA FAIRCHILD SOLOMON FAIRCHILD MARGARET FAIRCHILD ISABELL FAIRCHILD JOHN FAIRCHILD MARTHA FAIRCHILD ROSANNA FAIRCHILD EMILY FAIRCHILD WILLIAM FAIRCHILD ABRAM FAIRCHILD ELIZABETH FAIRCHILD
(5) POLLY, or MARY FAIRCHILD, married a man named Lines and had five children.