I know Boots has already answered your query but because I have two distinct lineages of FARRAR and FARROW I thought I'd post and invite you to email me or explore these families within this discussion group.
I know very little about the New England families except that some researchers have linked some families to a shared ancestry with Councilor William FARRAR who is regarded as the immigrantfor many of the Souther Farrarn families and the patriarch of the Farrar's Island Family.
To the best of my knowledge Councilor Farrar's family does not include the family of Pharoh FARROW, keeper of the Cape Hatteras lighthouse.It seems to be a true statement that this FARROW is not a FARRAR but that other FARROW families like my Richard FARROW b:1782 in North Carolina most probably changed their name from FARRAR to FARROW because the FARRAR y-DNA Project definitely places my gg-frandfather, Richard FARROW, within the FARRAR's Island descendants.To the best of my knowledge no one from Pharoh Farrow's family has been tested.
The Family Tree DNA FARRAR surname project is a good place to begin the genetic mapping of the New England FARRARS and to find if they share an English ancestry with the Farrar Island Family.It may be that several unrelated Farrar and/or Farrow families immigrated to the United States from England, Ireland, and other points of origin.FTDNA or similar y-DNA testing could be a good place to begin a dialog.
OBTW, my other link to the Farrar Island Family is Katherine Farrar b:1700 who married John Barnett b:1689.Katherine was the daughter of Thomas Farrar b:1662 and Katherine Perrin b:1667.John and Katherine (Farrar) Barnett are my 6g-grandparents.Councilor William Farrar b:1594 Lincolnshire, England and his wife (Cecily Bailey-Jordan-Farrar b:1600) are my 9g-grandparents.We've known about our Farrar's Island Family much longer that the recent realization that our Richard Farrow was a Farrar's Island descendant.