NOTE: There is no entry in the Hillmorton parish registers recording the birth of Abraham Perkins in 1612, 1613 or 1614, There is an entry for the baptism of an Abraham on 28 Jan 1608, however either the entry is incomplete or the page is torn, as it does not give the name of his father or his last name. You can look at the parish register HERE.
You can read an article about Abraham Perkins and the Perkins family, (Brown, Asa W. Perkins Family of Hampton, N.H. New England Historical and Genealogical Register 12 (Jan 1858):79), at Internet Archive.
"Abraham Perkins was among the first settlers. He is described as being superior in point of education to the most of his contemporaries, writing a beautiful hand, and was often employed as an appraiser of estates, etc. He died in 1683."
NOTE: The parish registers for Hillmorton for the years 1625-1639 do not appear to contain a record for this marriage. You can check the image of the Parish Register HERE.Watt-266 20:46, 30 October 2015 (EDT) 
Abraham Perkins of Hampton in the Province of New Hampshire, left a Will.
Signed at Hampton on 22 Aug 1683.
Witnesses: Seaborn Cotton and John Tucke
Proved on 18 Sept 1683
Inventory of the estate of Abraham Perkins, who died on 31 Aug 1683, taken 4 Oct 1683.
Value of estate: £361 2s 6d
In his Will, Abraham made the following bequests:
to beloved Wife: during her life, the new end of the house; use of back house; two cows and their increase; 4 sheep; apples; household stuffs except military, carpentry and husbandry implements
to sons Jonathan and Humphry: all land (as specified) and cattle (except two mentioned above); to provide for mother and provide her with various necessities (firewood, grain, meat, etc.); all carpentry military and husbandry implements
to daughter Sarah: son Humphry to pay her 20 pounds four years after Abraham's death
to granddaughter Mary Ffifield, 5 pounds
to daughter Abigail, 5 pounds
to son James, 5 pounds
to grandson John Perkins, 5 pounds
to sons David and Luke, 5 shillings each, as they already had their share
NOTE: None of this information is sourced and there is no gravestone for Abraham. Some of it may conflict with other information.
Birth: Jan. 28, 1608 Warwickshire, England, UK
Death: Aug. 31, 1683 Hampton, Rockingham County, New Hampshire
Abraham PERKINS was born on 28 January 1608 in Hillmorton, Warwick, England. He was christened on 28 January 1608 in Hillmorton, Warwickshire, England. He died on 31 August 1683, at the age of 75, in Hampton, Rockingham, NH.
Abraham Perkins married Mary Wythe in 1638 in Hillmorton, Warwickshire, England and came to the New World in 1638. He initially settled in Plymouth Colony for a brief time before removing to Hampton, Rockingham, New Hampshire. They were one of the first families to help settle the area. He and Mary were the parents of a large family of fourteen children, all born in Hampton.
Mary Wythe Perkins (1618 - 1706)
Mary Perkins Fifield (1639 - 1670)
Abraham Perkins (1639 - 1677)
Luke Perkins (1641 - 1709)
Humphrey Perkins (1642 - 1643)
James Perkins (1644 - 1644)
Timothy Perkins (1646 - 1656)
James Perkins (1647 - 1731)
Jonathan Perkins (1650 - 1688)
David Perkins (1653 - 1736)
Timothy Perkins (1657 - 1660)
Humphrey Perkins (1661 - 1711)
Abraham Perkins is recognized as one of the historic founders of NH in 1638 He was possessed with a good education, was an excellent penman, town marshal in 1654, selectman between 1650 and 1683.
Note: Head Stone is probably deteriorated.
Burial: Pine Grove Cemetery, Hampton, Rockingham County, New Hampshire, USA
Note: Perkins Stone Memorial - Founder's Park Hampton, NH 1640-1985 in 2007 c
Source: S-39 Title: Family Data Collection - Individual Records Author: Edmund West, comp. Publication: Name: Online publication - Provo, UT, USA: Ancestry.com Operations Inc, 2000. Repository: #R-200948261814
Source: S-42 Title: Millennium File Author: Heritage Consulting Publication: Name: Online publication - Provo, UT, USA: Ancestry.com Operations Inc, 2003.Original data - Heritage Consulting. The Millennium File. Salt Lake City, UT, USA: Heritage Consulting.Original data: Heritage Consulting. The Millennium File. Salt Lake City, UT, Repository: #R-214
Source: S-47 Title: Family Data Collection - Deaths Author: Edmund West, comp. Publication: Name: Online publication - Provo, UT, USA: The Generations Network, Inc., 2001. Repository: #R-214
Source: S-48 Title: American Genealogical-Biographical Index (AGBI) Author: Godfrey Memorial Library, comp. Publication: Name: Online publication - Provo, UT, USA: Ancestry.com Operations Inc, 1999.Original data - Godfrey Memorial Library. American Genealogical-Biographical Index. Middletown, CT, USA: Godfrey Memorial Library.Original data: Godfrey Memorial Library. Repository: #R-214
Source: S-49 Title: Family Data Collection - Births Author: Edmund West, comp. Publication: Name: Online publication - Provo, UT, USA: The Generations Network, Inc., 2001.; Repository: #R-214
Source: S-50 Title: Passenger and Immigration Lists Index, 1500s-1900s Author: Gale Research Publication: Name: Online publication - Provo, UT, USA: Ancestry.com Operations Inc, 2009.Original data - Filby, P. William, ed.. Passenger and Immigration Lists Index, 1500s-1900s. Farmington Hills, MI, USA: Gale Research, 2009. Repository: #R-214
Source: S-51 Title: U.S. and International Marriage Records, 1560-1900 Author: Yates Publishing Publication: Name: Online publication - Provo, UT, USA: Ancestry.com Operations Inc, 2004.Original data - This unique collection of records was extracted from a variety of sources including family group sheets and electronic databases. Repository: #R-214
↑ New Hampshire Provincial and State Papers; Author: Albert Stillman Batchellor; Probate Place: New Hampshire. Ancestry.com. New Hampshire, Wills and Probate Records, 1643-1982 [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2015. Original data: New Hampshire County, District and Probate Courts. Vol. 31, Page 263
↑ FindAGrave; Maintained by: Mary Gilmore; Originally Created by: Lawrence H. Grunert; Record added: Oct 13, 2012; Find A Grave Memorial# 98819259
Plymouth County, Massachusetts Biographical Review, 1897 Author: Ancestry.com Publication: Name: Online publication - Provo, UT, USA: The Generations Network, Inc., 2004.Original data - Biographical Review Volume XVIII. Containing Life Sketches of Leading Citizens of Plymouth County, Massachusetts. Boston, MA, USA: Biographical Review Publishing Repository: #R-214
The book of Dow : genealogical memoirs of the descendants of Henry Dow 1637, Thomas Dow 1639 and others of the name, immigrants Author: Ancestry.com Publication: Name: Online publication - Provo, UT: The Generations Network, Inc., 2005. Repository: #R-214
Perkins-4148 and Perkins-526 appear to represent the same person because: Abraham Perkins-4148 parents should become Isaac Perkins I and Alice Perkins [2nd] and Perkins-4148 should be merged with Perkins-526. (previous associations were eliminated)
I agree with Vic Watt in that None of these profiles really go together, but confused by the reference to Abraham’s parents as John and Judith (Gater) Perkins.
1. Abraham Perkins-4148 parents should become Isaac Perkins I and Alice Perkins [2nd] and Perkins-4148 merged with Perkins-526
2. Judith Gates-1555 should be merged into Gater-32 (ie. Judith (Gater) Perkins m. 1608 to Sgt John Perkins Sr) and her grandchild (who is the daughter of Elizabeth (Perkins) Sargent m. c1660 to William Sargent Sr) merged with Mary (Sargent) Challis.
3. Mary Sargent-1267 parents should become William Sargent Sr and Elizabeth (Perkins) Sargent and Sargent-1267 merged with Sargent-232
Adding unmerged matches for Gates-1555 and Sargent-1267 and will complete this merge.
Perkins-526 and Perkins-4148 are not ready to be merged because: Although these are the same women based on the dates, there are problems with Perkins-4148. Judith Gater was the wife of Abraham's FATHER, John, not Abraham, and Mary Perkins Sargent was Abraham's sister. I will put a message on the profile Perkins-4148 to see if we can fix that prior to the merge.