Great to have the timeline, Littleliz02!
I've been reading your other chats re: Alexander Williams, b Banff abt 1868/1869 and had a bit of a look around. On his 1913 marriage to Catherine Rafferty, Tynemouth the two witness' were :
George Pearson Nicol and Eliza Nicol
As witness' can often be relatives - worth a look to see if a Williams family connection came out - didn't find any but this is what I got:
George Pearson Nicol / Nichol
Born Mar Qtr 1875 Newcastle
Baptised 18 Feb 1875 - George Nicol & Grace Ann Rose (b 1855)
M 1896 Gateshead to Eliza Jane Coomb
Census 1881, age 6 - can't find. His parents are in Newcastle, with another son, William Rose Nicol age 1
Census 1891, age 16, as Drain, with mother & stepfather Joseph Drain
Census 1901, age 26, with wife & daughter Eliza Jane Nichol age 1
Census 1911, age 36, with wife & daughter Eliza Jane Nichol age 11
Grace Ann Rose, father William Rose, mother Jane Ann
M1) George Nichol, 23 Feb 1874 Newcastle
M2) Joseph Drain, 24 Jul 1888, Newcastle
Then I decided, that James Edward Jacobs deserved to be found

and had another look for him
And this is where it gets real interesting......He was b June 1857 New Jersey according to the 1900 Census.
There is a James Edward Jacobs born 20 June 1859 New Jersey. His mother was Sarah E
WilliamsHe was baptised St Pauls Rahway, NJ on 29 Sep 1863, along with 3 of his siblings:
Joseph Henry Jacobs, b 22 Mar 1856
James Edward Jacobs, b 20 Jun 1859
Mary Elizabeth Jacobs, b 1 Nov 1860
David Ross Jacobs, b 29 Nov 1862
His parents are:
Joseph Jacobs, b abt 1815-1818, France
Sarah E
Williams, b abt 1834 New York
They married 20 May 1854 , Woodbridge, Middlesex, New Jersey
https://www.familysearch.org/ark:/61903/1:1:FZLX-HB7Joseph Jacobs 39, Widower, b abt 1815
Sarah E Williams 20, Single, b abt 1834
CENSUS 1860: Rahway, Union, New Jersey Joseph Jacobs 42, Farm Labourer, b France
Sarah E Jacobs 25, b NY
Joseph Henry Jacobs, b NY
James E Jacobs 11 mths, b NJ
CENSUS 1870: Elizabeth Ward 5, Union, New JerseyJoseph Jacobs 56, Gasman, b France
Sarah E Jacobs 36, b NY
Joseph H 14, b NY
James E 11, b NJ
Mary E 10, b NJ
David R 8, b NJ
Sarah A 5
Laura 3
CENSUS 1880 - Clinton, Essex, NJJoseph Jacobs 60, works at Gardening, b France, parents b France
Sarah E Williams 42, Nurse, b NY, parent b (not listed)
dau: Sarah Ann 14
dau: Laura H 12
dau: Esther M 4
The bits I find interesting - besides the Willams

are:
He has a brother David. Your man had David as part of 2 of his children's names.
His brother David's middle name "Ross". Could it be "Rose"?
Your man's daughter Sadie - is a pet name for "Sarah"
Been trying to tie up deaths Sarah E Jacobs (Williams) & who are her parents, finding the son Joseph Henry born NY, and establishing son David's middle name - but starting to go round in circles now!
Cheers
AMBLY