Several pedigrees of John Strickland, who died in 1672 in Jamaica, New York, have been proposed, some reaching back into antiquity.  Several different collections of children have been listed.   Until I see proof of any of that, I will start with the information in The Great Migration Begins: Immigrants to New England, 1620-1633 by Robert Charles Anderson, 1995, and John Strickland of Long Island and His Sons-In-Law by Herbert F Smith in The American Genealogist Vol XI, (1934) starting at page 81.   The subject of this discussion was only called "Strickland" as a Sergeant in the Pequot Wars in the 1630's.  He was "Stickland" when he applied for Freeman status 19 Oct 1630 and when he was admitted 18 May 1631, as well as in the record of his move from Watertown to Wethersfield in 1635.  His signature was consistently "Sticklin."  The records of Hempstead start by calling him John Sticline in 1644 as a Patentee, and last in 1658 as Mr. Stickline; and this spelling is far more frequent than any other variant.  There is no evidence to connect him to the Strickland Family of Westmoreland  As best I can figure,  the John Strickland of Kendal, Westmoreland, who married Jane Fenwick, and had a son Thwait Strickland, and a daughter Elizabeth Strickland who married John Seaman  - IF there was such a person - was a different John Strickland.  There are Sticklines and Sticklands in Dorset and Surrey; and that would seem a more likely origin for the man commonly known as John Strickland of Long Island.

John Sticklin (c1595-1672) migrated from England to Charlestown, Massachusetts, in 1629, then to Watertown, Wethersfield 1635, Fairfield CT 1640, Hempstead, LI 1644, and Jamaica, LI 1663.  In 1650, Mr Sticklin of Hempstead, by his deputy, Jonas Wood, son-in-law, drew a three hundred acre lot in Southampton.  His will was dated 5 Sep 1672 and proved 13 Dec 1672.  His wife predeceased him.  She may have been named Jane, but the claim that she was Jane Fenwick has been refuted.
. 1. Elizabeth Sticklin (c1619-aft.1683) m.25 Feb 1641/2 Jonas Oram Wood
.. . . New York Genealogical and Biographical Record 120:9
. 2. daughter Sticklin (c1625) m.c.1645 John Lum
. .. . New York Genealogical and Biographical Record 120:235
. 3. Sarah(?) Sticklin (c1628) m.c.1650 John "Blue" Smith of Hempstead
. .. . The American Genealogist 11:206
. 4. daughter Sticklin (c1630) m.c.1651 Timothy Wood, m(2) Samuel Matthews
. .. . New York Genealogical and Biographical Record 120:9

The American Genealogist, Vol 11, pg: 82 gives the will of John Strickland as follows:
The Testamt of Mr John Sticklin 5 September 1672: Being in great payn yet through gods mercy perfict in Sencis doe now comit by body in the ground and my soule to god that gaue it and for my estate I doe dispos of it as followeth that out of my estat first all dews & debt be fully satisfied and for the remainer: first that I doe give to my daughter Loum (Lum) ten pounds; to my daughter Matthews youngest child forty shillings; I doe give to Jonathan Mills one cow; I doe give to John Loums eldest daughter one cow and for the remainer of my estate I doe give to all my grandchildren to be devided eawuely among them that is to say those childrin that have bin borne of my daughters and are now liveing and that this my will may be trewly performed I doe make chouce of my sonn John smith, my sonn Samuell Matthews, John Foster & benjamin Cow as my exsecuters and that this is my last will & testament I doe own by subscribing my hand the day and date above written.
Jo== S==== (1)
It is to be understood that thos two cows mentioned to john Loums daughter & to Jonathan Mills ware my wives and shee gave them as shee saw good and I promising her to perform her will have accordingly disposed of them.
Attested by: John ffoster and Benjamin Coe
This will was probated on 22 January 1672/73.
(1) Herbert Smith (TAG 11:82) says "The J is well written; the rest, after making a couple of small loops, straightens and becomes indefinable."

Elizabeth Sticklin (c.1619-aft.1683) m.25 Feb 1641/2 Jonas "Oram" Wood (28 Sep 1614-  12 Jun 1689)  Jonas Oram lived in Huntington Long Island, and his will mentions surgeons tools.
. 1. Jonas Wood (c1643-1710) married Elizabeth Conklin (1649-1697)
. 2. Elizabeth Wood (c1645-aft.31 Jul 1691) m.c1664 Isaac Platt (10 Apr 1633-31 Jul 1691)
. 3. Phebe Wood (c1647-Jul 1697) m. Mar 1667 Epenetus Platt (1640-1693)
. 4. John Wood 
. 5. Jeremiah Wood
. 6. Timothy Wood
. 7. Ann Wood

 Phebe Wood  (1649-1697) m.1667 Epenetus Platt  (1640-1693)

Margaret Platt (1728- 1791) m.1744 Isaac Smith (1722- 1795)

Margaret Smith (1763-1821) m.1780 Morgan Edwards (c.1750-1798)

Margaret Edwards (1789-1864) m.1821 Thomas Tate (1775-1838)

Thomas Edwards Tate (1821-1914) m.1845 Mary Vernon Cutrer (1825-1892)

Frances Mary Tate (1852-1881) m.1871 Walter Edwin Tynes (1848-1928)

Jeanne Marie Tynes (1878-1958) m.1913 Carson B Matthews (1874-1948)

Frances Mary Tate Matthews (1917) m.1949 Virgil Raymond Liptrap (1907-1977)

James Matthews Liptrap (1951)