Abraham E. Washer was born sometime after 1801. He was married to Catherine Littell. He appears to have died sometime between 1845 and 1850.
1830: An Abraham E. Washer is living in Newton Township, New Jersey per the census. There is an older Abraham Washer (no middle initial) listed on the same page.  In his household at this time (my guesses for who's who in brackets):
Females - Under 5: 1 [Unknown Daughter, apparently died before 1840]
1830: Son Alexander Washer born (b.1830, d. 1850)
1832: Son Amos Washer born
1840: There is an Abraham E. Washer on the 1840 census living in Frankford Township, Sussex County, NJ. He's listed next to a George Washer who is between the ages of 40 and 50. Living in Abraham's household:
Males - 5 thru 9: 1 [Amos Washer]
Males - 30 thru 39: 1 [Abraham E. Washer]
Females - Under 5: 2 [Unknown Daughter, Unknown Daughter]
1850: Catherine (Littell) Washer, age 41, was listed as head of household in Lafayette, Sussex County, New Jersey, at the time of the 1850 census. She was living on her own with her three small children, Sarah, William and Dianna, ages 4, 5 and 7. Presumed widowed.
Abraham's middle initial of E was listed in the will of his father-in-law, Andrew Littell.
Not to be confused with Abraham Washer (no middle initial), also of Sussex, New Jersey, b. abt. 1794 and married to Sarah Winfield.
↑ "United States Census, 1830," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XH52-Y1P : 10 September 2017), Abraham E Washer, Newton, Sussex, New Jersey, United States; citing 233, NARA microfilm publication M19, (Washington D.C.: National Archives and Records Administration, n.d.), roll 82; FHL microfilm 337,935.
↑ "New Jersey, Deaths, 1670-1988," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:FZGV-SV2 : 11 February 2018), Abrm. E. Washer in entry for Alexander Washer, 15 Oct 1850; citing Lafayette, Sussex, New Jersey, United States, Division of Archives and Record Management, New Jersey Department of State, Trenton.; FHL microfilm 584,582.
↑ "United States Census, 1840," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XHYW-X43 : 7 September 2017), Abm E Washer, Frankford Township, Sussex, New Jersey, United States; citing p. 28, NARA microfilm publication M704, (Washington D.C.: National Archives and Records Administration, n.d.), roll 260; FHL microfilm 16,520.
John Littell, "Family Records: Or, Genealogies of the First Settlers of Passaic Valley and Vicinity Above Chatham, with Their Ancestors and Descendants as Far as Can Now be Ascertained," D. Felt, 1851, Harvard University, page 216, found on Google Books.
It may be possible to confirm family relationships with Abraham by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share DNA with Abraham: