Solomon was born in Hall-i’th’-Wood, Turton about 1800 (see news clip).  There is no christening record, but it is assumed he is the son of Solomon and Martha.  Sister Ann was also born at Hall-i’th’-Wood.  Solomon and Joseph (40 & 35) were neighbours at Eagley in 1841 so almost certainly brothers and Joseph was baprised

Walmsley Presbyterian records are missing from 3-Oct-1794 to Oct-1815.  The best evidance they Solomon is the son of Solomon is:

1) There is no other baptism
2) He is a neighbour with his assumed brother
3) He is "Solomon" son of Solomon

Name: Solomon Mather
Estimated Birth Year: abt 1800
Date of Registration: Apr-May-Jun 1890
Age at Death: 90
Registration district: Bolton, Lancashire
Volume: 8c
Page: 233


Burial: 31 May 1890 Christ Church, Walmsley, Lancashire, England
Solomon Mather -
    Age: 90 yrs
    Abode: Eagley Bank
    Buried by: Lewis R. Hearn Offy. Min.
    Register: Burials 1887 - 1904, Page 37, Entry 293
    Source: Register at Manchester Library

Lancashire Death indexes for the years: 1890
MATHER    Solomon    90    Sharples,Bolton    SH/11/486

The Bolton Evening News – Saturday, May 31 1890
The Late Mr Solomon Mather of Eagley. A quaint old Lancashire worthy is being interred today in Walmsley Churchyard in the person of the late Mr. Solomon Mather, of Park Terrace, Eagley Bank, who died Tuesday in the 91st year of his age.  He was born at Hall-i’th’-Wood, where he received such education as was in those days imparted as a Dame’s School.  His father was an old Hand-loom weaver who brought his goods to the open market at the top of Bank-street in the customary wallet.  When the firm of Messrs Chadwick and Bro. was established at Eagley, Solomon Mather went to work there, and remained with the firm for 53 years, retiring at the age of 75. He was a staunch Liberal in politics, but, curious to relate, never had a vote until the last two years, and then had not an opportunity of exercising the privilege.  He recollected the battle of Waterloo, and was full of anecdotes of Peterloo, and Henry Hunt, whose carriage he helped to drag part of the way from Eagley Bank to Salford, the party wearing the proverbial white hat. Mr. Mather was of a very social disposition, and consequently much esteemed by a large circle of acquaintances.  All his life he was fond of outdoor sports, and loved the “jack” on the bowling green, which he followed as recently as a week before his death.  Many friends at the Back-o’th’-Bank Green provided him with his favourite recreation, which was recommended by the late Dr. Rothwell as a means of maintaining his health.  He had been a widower for many years, and lived with his son-in-law, Mr. James Haslam.  There are two children and numerous grandchildren living to perpetuate his name.

Headstone Inscription:
SOLOMON MATHER who departed this life on the 27th May 1890,
Aged 90 years.  Also of BETTY the beloved wife of
Solomon Mather who departed this life on the 20th April 1870
Aged 67 years.

Aged 35 in 1841
Aged 48 in 1851
Aged 58 in 1861, born Great Bolton
Aged 67 in 1870 (when died)

Died between 1861 and 1871 census

Name: Betty Mather
Estimated Birth Year: abt 1803
Date of Registration: Apr-May-Jun 1870
Age at Death: 67
Registration district: Bolton, Lancashire
Volume: 8c
Page: 18_

Burial: 25 Apr 1870 Christ Church, Walmsley, Lancashire, England
Betty Mather -
    Age: 67
    Abode: Astley Bridge
    Buried by: R.C.W. Croft Incumbent
    Register: Burials 1868 - 1886, Page 14, Entry 98
    Source: Register at Manchester Library

Headstone Inscription:
SOLOMON MATHER who departed this life on the 27th May 1890,
Aged 90 years.  Also of BETTY the beloved wife of
Solomon Mather who departed this life on the 20th April 1870
Aged 67 years.

Name: William Mather
Baptism Date: 17 Oct 1830
Parish: Bolton le Moors, St Peter

Father's Name: Solomon Mather
Mother's name: Betty Mather
Reference Number: GB127.L243/1/3/9


Baptism: 17 Oct 1830 St Peter, Bolton, Lancs.
William Mather - Son of Solomon Mather & Betty
    Abode: Sharples
    Occupation: Weaver
    Baptised by: T Fogg Curate
    Register: Baptisms 1829 - 1831, Page 214, Entry 1708
    Source: LDS Family Search

William died between 1871 and 1881, when wife Alice is recorded as a widow.  Death recorded in Ormskirk, but burial shows abode as Sharples (as expected).

Deaths Dec 1880   (>99%)
Mather     William     50     Ormskirk     8b    535

Name:    William Mather
Age:    50
Birth Date:    abt 1830
Burial Date:    23 Nov 1880
Burial Place:    Walmsley, Christ Church, Lancashire, England
Reference Number:    GB127.L99/1/4/2
Abode: Sharples

Aged 5 in 1841
Aged 27 in 1861
Aged 31 in 1864 (when married)
Aged 37 in 1871

name: Anne Mather 
gender: Female 
christening date: 27 Nov 1833 
christening place: Bolton-le-Moors, Lancashire, England 
father's name: Solomon Mather 
father's occupation: Weaver
mother's name: Betty 
Abode: Little Bolton
indexing project (batch) number: C00700-1 
system origin: England-ODM 
gs film number: 1966401 
reference id:

Name: Ann Haslam
Estimated Birth Year: abt 1834
Date of Registration: Jul-Aug-Sep 1909
Age at Death: 75
Registration district: Bolton
Inferred County: Lancashire
Volume: 8c
Page: 226 

Aged 23 in 1861

Name: Jane Mather
Baptism Date: 9 Jul 1837
Parish: Bolton le Moors, St Peter
Father's Name: Solomon Mather
Mother's name: Betty Mather
Reference Number: GB127.L243/1/3/13

Was the J for Jane, brother of William? - TBC

Mather, W. & J. St Anne's Church, Turton -WW1   Churchyard Memorial Inscriptions

Name    Jane Gregory
Age    49
Birth Date    1837
Burial Date    24 Jun 1886
Burial Place    Walmsley, Christ Church, Lancashire, England
Reference Number    GB127.L99/1/4/2

Abode: Eagley

Aged 12mo in June 1841
Aged 40 in 1881, born Eagley

MATHER, THOMAS        BARNS 
GRO Reference: 1840  J Quarter in BOLTON UNION 
Volume 21  Page 193

Lancashire Birth indexes for the years: 1840
MATHER    Thomas    BARNS    Turton, Bolton    TUR/2/37

According to his father's obituary, Thomas was still alive when Solomon died in 1890.

Name:    Thomas Mather
Birth Date:    7 May 1840
Death Date:    4 Jan 1907
Cemetery:    Mountain Grove Cemetery and Mausoleum
Burial or Cremation Place:    Bridgeport, Fairfield County, Connecticut, United States of America
Has Bio?:    N
URL:    https://www.findagrave.com/memorial/146269002/thomas-mather