1. William (died 1793)
2. Thomas (died 1810)
3. Nathaniel (died 1810)
4. Joseph
5. Judith

Also see: The first 2 generations in America

¹much of the info on this line provided by Ann J. Everingham, or Tom Phillips.
²IGI file submitted by EDNA FRAZER LUCKE of Kirksville, MO.
same IGI file listed above, shows: Dinah Liming as the 6th child of 9., of John Liming (b.1683 near Allentown, Freehold, NJ) and Dinah Dewilde married abt. 1714.

Monmouth New Jersey

Early New Jersey Everingham family living in the same area. (see locations) This family moved to PA

LDS IGI Files - Dinah's Family.

research of Kevin Everingham of MI 2006- updated 2014
1746 Marriage, Dinah Lisning of Monmouth, NJ, and Jeremiah Everingham of Monmouth, NJ, married January 8, 1746. from the book; New Jersey Colonial Documents, pg. 252.

1752 Jeremiah deeded land to William his brother and to take care of their widowed mother Rachel. So their father Henry had died by 1752. (deed)

1760 Aug, 1. Liming, Dinah, of Upper Freehold, Monmouth Co. will of. I am now in the 66th year of my age. Son, John Liming, 2 shillings. Sons, William, Henry and Thomas, 2 shillings a piece. 3 Youngest daughters, Mary and Sarah, rest of estate. My 2 eldest daughters, Dinah and Kesiah, 2 shillings a piece.
Executors-son-inlaw, Jeremiah Everingham, and my friend, John Chamberlain. Witnesses- Joseph Robins, William Lawrence. Proved Nov. 6, 1773.

1790 CENSUS of Northern Liberties, Philadelphia, PA (Page 184, 3 up from the bottom of that page) ... Dinah Everngem household; 1 male <16, and 2 females. If this is the right Dinah, she would have been about 64 years old. Jeremiah had died by 1778 based on tax assessments of 1778-1780 which shows Dinah living alone. He was also not mentioned in his brother's WILL in 1793.

1800 CENSUS Cumberland, Greene, PA ... James Everingem it's very interesting that in the next Census, this "James" appears also in Pennsylvania and with a very similar mis-spelling of the last name... is it possible this is a son of Jeremiah & Dinah?
RESEARCH CAUTION I have some regrets making this possible connection in 2009 with the census info above, which caused many family researchers and hobby genealogists to make a leap to Jeremiah & Dinah being listed as the absolute parents of James Everingham (b.1755/60). Could they be?, Yes!, but I have never made that connection and find no proof of it at this time. Although if anyone has proof of this I would love to see it! Yes this James had also showed up with his last name spelled Everingem but that does not make a connection. In fact, that James Everingham was in Ontario and Niagara area at the time and dead before the 1800 census listed above - so he could NOT be the same James. It is more likely this James Everingame is the man in the 1800 PA census above.

Various WILLS Dinah was born between 1726 & 1728, the daughter of John Leming & Dinah DeWilde. The WILL of John Liming Sr. of Upper Freehold, NJ dated June 14, 1757 lists wife Dinah & "Liming" children John, Henry, William, Thomas, Dinah (Everingham), Mary & Sarah.
The WILL of Dwilde Liming of Burlington was dated February 16, 1760. In this will, Dwilde is noted as a sibling of Dinah Everingham and brother-in-law of Jeremiah Everingham.