Samuel was 6 at the time of the 1861 census
Samuel was 15 at the time of the 1871 census
Samuel was 25 at the time of the 1881 census
Samuel was 55 on the 1911 census

Lancashire Birth indexes for the years: 1855
MATHER    Samuel    NIGHTINGALE    Eastern Bolton    EB/32/335

MATHER, SAMUEL        NIGHTINGALE 
GRO Reference: 1855  J Quarter in BOLTON UNION 
Volume 08C  Page 274

After 1911

Samuel and Sarah Ann were still in Bolton in 1911, with daughters Mary Ann and Margaret.

Possible Deaths:
Dec 1922 Salford, age 65
Jun 1929 Ashton, age 70
Sep 1931 Fylde, age 76 (best match)

Parents Samuel & Ann, Sarah Ann, and niece Mary Ann Mather are all buried in the same grave. NONCON-3RD/B1/93 at Astley Bridge

Sarah Ann was 26 in 1881

Deaths Mar 1916   (>99%)
Mather  Sarah A  61  Bolton  8c 508

Sarah Ann Mather was the next of the 5 buried in the grave after  Samuel and Ann Mather at Astley Bridge.  Her husband Samuel followed her (4th in grave) 15 years later.

Aged 5 in 1881
Aged 25 in 1891 (with parents)
Aged 35 in 1911

Lancashire Birth indexes for the years: 1876
MATHER    Mary A    WILLIAMS    Sharples    SH/13/289

MATHER, MARY  ANN      WILLIAMS 
GRO Reference: 1876  M Quarter in BOLTON 
Volume 08C  Page 414

22 in 1901

Lancashire Birth indexes for the years: 1879
MATHER    William    WILLIAMS    Sharples    SH/14/461

MATHER, WILLIAM        WILLIAMS 
GRO Reference: 1879  J Quarter in BOLTON 
Volume 08C  Page 383

Still alive in 1939

Born about 1882 (1891 census)
Born May 1881 (date not known) on 1939 register

Aged 19 in 1901


Lancashire Birth indexes for the years: 1881
MATHER    Sarah    WILLIAMS    Sharples    SH/15/395


MATHER, SAMUEL        WILLIAMS 
GRO Reference: 1881  J Quarter in BOLTON 
Volume 08C  Page 391

Name:    Samuel Mather
Death Age:    64
Birth Date:    abt 1881
Registration Date:    Q3 1945
Registration District:    Bangor, Caernarvonshire
Volume:    11b
Page:    363

Lancashire Birth indexes for the years: 1885
MATHER    Margaret    WILLIAMS    Sharples    SH/17/149

MATHER, MARGARET        WILLIAMS 
GRO Reference: 1885  M Quarter in BOLTON 
Volume 08C  Page 412

Name:    Margaret Mather
Gender:    Female
Birth Date:    16 Feb 1885
Baptism Date:    29 Mar 1885
Baptism Place:    Bridge St Chapel, Prim Methodist Church, Bolton, Lancashire, England
Father:    Samuel Mather
Mother:    Sarah Ann
FHL Film Number:    1538277

Probably the WRONG record:
The burial record here is for a Margaret Ann, probably single and buried with other families.  This could be her, as single, but age is a year out, and Cooper, Kay and Singleton do not appear to be related, unless they are related to sister Mary Ann:

A1413 – Old Ground Left T13
Mather, Margaret Ann (not on headstone) – age:81 bur. 20.3.1965
Cooper, John James – d. 6.2.1936 age:56 bur. 8.2.1936 A352
Cooper, Winifred – d. 7.1.1947 age:69 bur. 11.1.1947 A798
Kay, Elizabeth – d. 2.4.1912 age:74
Singelton, John Williamson – d. 26.4.1833 age:22

Aged 12 in 1901, with "parents"

MATHER, MARTHA        ATHERTON 
GRO Reference: 1888  S Quarter in BOLTON
Volume 08C  Page 480

Possible daughter of Richard Mather & Emma Atherton, married 1883 at Bolton, St Bartholomew