1. Clifford Henry (b.3 Feb 1889)
2. Roland E. (b.4 Mar 1891)

1. Annie (b.~1862 NJ)
2. Maryetta (b.~1866 NJ)
3. Benjamin Franklin (b.~1874)

Research of Kevin Everingham of Michigan, 2014 & 2018:

1868 Burlington, NJ Birth Index...(vol.B, pg.118) "William H. Everham, male, b.16 November 1868 at Southampton, Burlington, NJ.. father: Benjamin S. Everham, mother: Hannah A."

1870 Southampton Township, Burlington County birth record (Vol.C-A, pg.105)... "Mary Cotton, female, b.1 Dec 1870 at Southampton, NJ, d/o Daniel S. Cotton & Sarah Cotton."

1870 CENSUS Southampton twp., Burlington, NJ (sheet 4, family #100) "Benjamin Everham 33, b.NJ,.. Hannah A. Everham 30, b.NJ,.. Maryetta Everham 4, b.NJ,.. William H. Everham 1, b.NJ.... Joshua Woolston 29, laborer,.. Sarah Woolston 25,.. Joseph B. Woolston 1." very clear census, easy to read.
1870 CENSUS Southampton twp., Burlington, NJ (Page 57, family #435).. "Daniel S. Cotton 26, laborer, b.NJ,.. Sarah E. Cotton 18, b.NJ"

1880 CENSUS Southampton, Burlington, NJ (sheet 548B) "Benjamin Everham 44, b.NJ,.. Hannah Ann Everham 38, b.NJ,.. Marietta Everham 14, b.NJ, dau,.. William H. Everham 12, b.NJ, son,.. Benjamin Franklin Everham 6, b.NJ."
1880 CENSUS Southampton, Burlington, NJ (Sheet 546B 2 pages away in the Census from the Everham family...) "Daniel Sykes Cotton 37, b.NJ,.. Sarah E. Cotton 27, b.NJ, wife,.. Mary M. Cotton., 9, b.NJ dau,.. Joseph H. Cotton 7, b.NJ, son,.. Bertha A. Cotton 5, b.NJ, dau,.. Charles Cotton 2, b.NJ, son." Daniel Cotton & Sarah are listed in the 1890 Northampton Township, Burlington County, NJ Census of Union Civil War Veterans and widows. He married at Mt. Holly to Sarah E. Foster October 5, 1869 of Northampton, Burlington, NJ. Daniel was born 23 Nov 1844 and died 25 May 1885.

1885 STATE CENSUS, Southampton, Burlington, NJ (family #501).. "Benj Everham (20-60),.. Sarah (20-60),.. William (5-20),.. Benj F. (5-20)."

I have made the connection of this William H. Everham to Mary Cotton on circumstantial evidence. There were at least 3 William H. Everham's in the area about the same age and the William who married Mary Cotton shows up with a birth date of September 1868... this William was born November 1868, but I believe that the month was likely mixed up at some point because all other data matches up well. In 1880, Mary Cotton lived at Southampton, Burlington, New Jersey, the same township as William's family.

1889 N. Burlington, Burlington, NJ Birth Record (Vol.28, pg.68).. "Clifford Henry Everham, born, 3 Feb 1889 at North Burlington, Burlington County, NJ, male, s/o William H. Everham, 22, & Mary Cotton, 19."

1891 N.Ampton, Burlington, NJ Birth Record... "Roland Everham, male, b.4 March, 1891 at Northampton, Burlington county, New Jersey, son of Wm. Everham 26, & Matilda Cotton 21."

1900 U.S. CENSUS Burlington City ward 1, Burlington, NJ (Sheet 4B, family #89)... "William H. Everham 32, b.Sept 1868 NJ, farm laborer,.. Mary M. Everham 29, b.Dec 1871 NJ, wife, mother of 2, 2 living,.. Clifford H. Everham 11, b.Feb 1889 NJ, son,.. Roland E. Everham 8, b.March 1892 NJ, son."

1905 State CENSUS Burlington, NJ (Page 12, family #251).. "William H. Everham 37, occ; Fisemano R.R.,.. Matilda M. 34,.. Clifford H. 16,.. Roland E. 13."

1910 U.S. CENSUS Camden Ward 3, Camden County, NJ (Sheet 2B, house #42).. "William H. Everham 42, b.NJ, occ; Engineer, locomotive,.. Mary M. 39, b.NJ,.. Clifford H. 21, b.NJ,.. Roland E. 18, b.NJ."

1915 State CENSUS Camden, Ward 3, Camden, NJ (Sheet 6A, house #128).. "William H. Everham, occ: engineer,.. Matilda,.. Roland E.,.. Bertha,.. Roland E. Jr."

1919 William Everham died 1919 Harleigh Cemetery, Camden, Camden County, NJ, has the following possible related headstones; "William H. Everham (1867-1919),.. Mary M. Everham (1870- ), .. Clifford H. Everham (1889-1969),.. Ethel M. Everham (1890-1976),.. Mary L. Cotton ( d.29 Jan 2017),.. Earl F. Hoxworth (1893-1955),.. Elwood Hoxworth (d.1933),.. Elwood W. Hoxworth (b.1884),.. Emma E. Hoxworth (1866-1925)."

1920 U.S. CENSUS Camden, Ward 4, Camden Co., NJ (Sheet 8A, house #150).. "Roland Everham 27,.. Bertha 27,.. Roland Jr. 5,.. Mildred 4,.. Esther 3,.. Matilda Everham, 49, mother, widowed."

1940 U.S. CENSUS Camden, ward 9, Camden City, Camden, NJ (Sheet 1A, family #7).. "Clifford Everham 51,.. Ethel Everham 50,.. Mary M. Everham 70, mother, widowed,.. Earl Hoxworth 47, brother-in-law." since Cliff didn't have a sister, then Earl was his wife's brother, thus Ethel's maiden name was likely "Hoxworth" (see cemetery records from 1919 above).

This is obviously not the William H. Everham from Cumberland, NJ, also born 1868, but that William married a Carrie Mitchell and died in 1911. From the census data above, the William of this page was still alive in 1915.