Clarence Almon TORREY's New England Marriages to 1700:
Richard SINGLETARY/SINGLETERY, d. 1687, [prob. Haverhill], MA; m2. ca. 1639, [Salisbury?], MA, Susanna COOKE.
Jonathan SINGLETARY, b. 1640, MA; m. by 1660, Mary BLOOMFIELD, b. 1641/2.
James SAVAGE's Genealogical Dictionary of...New England: Richard SINGLETARY had by wf. Susanna, ch. recorded at Salisbury: Jonathan, b. 17 Jan. 1640; Eunice, 7 Jan. 1642; Nathaniel, 28 Oct. 1644; Lydia, 30 Apr. 1648; & Amos, Apr. 1651; & at Haverhill, Benjamin, b. 4 Apr. 1656.Susanna [COOKE] SINGLETARY d. 11 Apr. 1682, & Richard d. 25 Oct. 1687 [reportedly at age 102--doubtful].
David DUNHAM(10 Mar. 1673/4 - befor widow was appointed admx., 5 Je. 1757, Woodbridge, Middlesex, NJ) m. 14/16 Aug. 1699, NY, NY, Mary INSLEY, b. 13 Apr. 1680.
Joseph DUNHAM (7 Oct. 1700 - will of 20 Oct. 1759, pr. 27 Dec. 1771, Middlesex Co., NJ).
Moses DUNHAM, b. ca. 1740, had by unknown first wf., son Moses (1764, NJ - 25 Sep. 1849, Wayne Co., OH).
Ancestry online census database has in Fayette Co., PA, 1810, DUNHAM:Elizabeth, Mordecai, & Moses.
Census of 1830, Wayne Co., OH, Moses, John, & Thomas DUNHAM.
Census of 1840, Wayne Co., OH, Henry, John, Philip & two named Thomas DUNHAM.[Moses may not have been head of a household, possibly living with a child.]
In 1850, Wayne Co., eldest DUNHAM males listed were John, 50; Henry, 46; & Thomas, 42.
Households are shown on the free database for 1860, Fredericksburg, Wayne Co., OH, DUNHAM:
John, 60; Sarah, 51; Joseph, 20; also in household, Rosena REASER, 19.
Thomas, 51; Margaret, 51; Ezra, 22; Mary Jane, 20; Henry, 17; George, 15; John, 13; Teressa A., 9; Cyrus, 7.
Robert, 25; Sarah, 19; Mara Adella, 2 mos.
Caleb, 31; Mary J., 33; John, 9; Phibee A., 7; Margaret E., 1
Henry, 50; Elanor, 45.
At Wooster, in household of Geo. BARTOL, Burnet DUNHAM, 19.
At Wooster, TRACY: Jacob, 51; Phebe, 48; Bezaleel, 26; Sarah, 20; Mary, 14; Joanna, 11; Emeline, 8; Thomas, 5.
The 1850 database has been alphabetized, so households aren't clear, but there were these named TRACY:Jacob, 41; Phebe, 40; Elizabeth, 18; Bezaleel, 15; Sarah, 9; Mary J., 4; Joanna, under one.
The immigrant was not Sir John DUNHAM.He was later known as Deacon John DUNHAM (ca. 1588 - Mar. 1668/9, Plymouth).The most reliable information so far is that he was son of Richard DUNHAM, poulter, who was buried 19 Nov. 1624, Langford, Bedfordshire.Richard's will gave to son John "upon his return."John DUNHAM m1. 17 Aug. 1612, Clophill, Bedfordshire, Susanna KAINO/KEYNOE, daughter of Thomas, who d. before 7 May 1612, leaving widow Joanne.John DUNHAM's first child was John, bpt. 19 Feb. 1614/5, Henlow, BEDFORDSHIRE, who left a will dated 2 Feb. 1691, pr. 1692, Plymouth.John DUNHAM was called widower of Susanna when he married in Leyden, 22 Oct. 1622, Abigail BAILLIOU.The original handwriting of Susanna's name is shown in Leyden Documents Relating to the Pilgrims, but the surname is difficult to read.
If you have any living male relatives with the surname DUNHAM, you can answer the question of whether your line is from Jonathan SINGLETARY or from John DUNHAM of Plymouth through the DNA project.