Born after Aug 1826 (if death age is correct) and before April 1827 (for census)

Samuel was 15 at the time of the 1841 census (rounded up)
Samuel was 34 at the time of the 1861 census
Samuel was 43 at the time of the 1871 census
Samuel was 53 at the time of the 1881 census (born LB)
Samuel was 71 when died inj Sep 1898

According to census, Samuel must have died between 1891 and 1901 (as theres no 1901 record of him)

Name: Samuel Mather
Estimated birth year: abt 1827
Year of Registration: 1898
Quarter of Registration: Jul-Aug-Sep
Age at Death: 71
District: Bolton
County: Greater Manchester, Lancashire
Volume: 8c
Page: 230 

No Probate

Samuel is buried at Astley bridge with wife Ann three others.

Ann was 12at the time of the 1841 census
Ann was 31 at the time of the 1861 census
Ann was 41 at the time of the 1871 census
Ann was 51 at the time of the 1881 census


Name:    Anne Nightingale
Baptism Date:    15 Nov 1829
Parish:    Bolton-le-Moors, Lancashire, England
Father:    William Nightingale
Mother:    Margt Nightingale
Register Type:    Bishop's Transcripts
Reference Number:    Drm/2/23a

Abode: Sharples (Finisher)

According to census, Ann must have died between 1891 and 1901 (as theres no 1901 record of her).

Name: Ann Mather
Estimated birth year: abt 1830
Year of Registration: 1899
Quarter of Registration: Apr-May-Jun
Age at Death: 69
District: Bolton
County: Greater Manchester, Lancashire
Volume: 8c
Page: 241

Lancashire Birth indexes for the years: 1849
MATHER    John    NIGHTINGALE    Sharples    SH/4/290

MATHER, JOHN        NIGHTINGALE 
GRO Reference: 1849  S Quarter in BOLTON UNION 
Volume 21  Page 169

Baptisms: 22 Jul 1849 St Paul, Astley Bridge, Bolton, Lancashire
John Mather - Son of Samuel Mather & Ann
    Abode: Sharples
    Occupation: Spinner
    Baptised by: K.Frazer. Minister
    Register: Baptisms 1845 - 1867, Page 24, Entry 192
    Source: LDS Film 2148103

Presumed died as not on 1851 census

Deaths Sep 1849   (>99%)
Mather  John     Bolton  21 72    (Age 0)

Deaths Sep 1850   (>99%)
MATHER  John     Bolton  21 96   (Age 75)

Alice was 8 at the time of the 1861 census
Alice was 18 at the time of the 1871 census
Alice Ann was 59 in 1911

MATHER, ELLEN  ANN      NIGHTINGALE 
GRO Reference: 1852  S Quarter in BOLTON UNION 
Volume 08C  Page 197

Lancashire Birth indexes for the years: 1852
MATHER    Ellen A    NIGHTINGALE    Sharples    SH/5/319

NOTE: Birth registered as Ellen, not Alice on GRO and BMD records.

Baptisms: 17 Jul 1852 St Paul, Astley Bridge, Bolton, Lancashire
Alice Anne Mather - Daughter of Samuel Mather & Anne
    Abode: Sharples
    Occupation: Spinner
    Baptised by: K.Frazer. Minister
    Register: Baptisms 1845 - 1867, Page 45, Entry 355
    Source: LDS Film 2148103

Name:    Alice Ann Mather
Baptism Date:    5 Sep 1852
Baptism Place:    Bolton-le-Moors, St Peter, Lancashire, England
Father:    Samuel Mather
Mother:    Ann Mather
Reference Number:    GB127.L243/1/3/21

She was baptised twice !

There's an Alice Buck who died in in Bolton early 1929, but appears to be 3 years too young:

Deaths Mar 1929   (>99%)
Buck  Alice  74  Bolton  8c 750

or,

Name: Alice A Buck
Date: Dec 1936
Place: Bolton, Lancashire, England
Description:Age at Death: 84

Name    Alice Ann Buck
Register Type    Burial
Death Date    1936
Burial or Cremation Date    14 Nov 1936
Burial or Cremation Place    Lancashire, England

Probate:
Buck Alice Ann of 635 Blackburn-road Astley Bridge Bolton Lancashire. Widow died 12 November 1936 Probate Mancheater 29 Jan to William Rigby master bricklayer and Arthur Clayton journeyman Blacksmith. Effects £613 8s

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

Margaret was 2 at the time of the 1861 census
Margaret was 11 at the time of the 1871 census
Margaret was 22 at the time of the 1881 census

Lancashire Birth indexes for the years: 1859
MATHER    Margaret    NIGHTINGALE    Little Bolton    LB/35/395

MATHER, MARGARET        NIGHTINGALE 
GRO Reference: 1859  J Quarter in BOLTON 
Volume 08C  Page 263

Deaths Mar 1885   (>99%)
Eatock  Margaret  26  Bolton  8c 242

Lancashire Death indexes for the years: 1884
EATOCK Margaret 26 Sharples Bolton SH/10/348

Name: Margaret Eatock
Age: 26
Burial Date: 14 Feb 1885
Parish: Astley Bridge, St Paul
Parish as it Appears: Astley Bridge
Reference Number: GB127.L83/1/3/2

Lancashire Birth indexes for the years: 1863
MATHER    William    NIGHTINGALE    Little Bolton    LB/45/376

MATHER, WILLIAM        NIGHTINGALE 
GRO Reference: 1863  D Quarter in BOLTON 
Volume 08C  Page 275

William died Q3 1863, (or possibly Q1 1867)

MATHER, WILLIAM        1 
GRO Reference: 1865  S Quarter in BOLTON 
Volume 08C  Page 176
or
MATHER, WILLIAM        2 
GRO Reference: 1867  M Quarter in BOLTON 
Volume 08C  Page 253

George was 4 at the time of the 1871 census
George was 44 in 1911

Lancashire Birth indexes for the years: 1866
MATHER    George    NIGHTINGALE    Little Bolton    LB/51/276

MATHER, GEORGE        NIGHTINGALE 
GRO Reference: 1866  J Quarter in BOLTON 
Volume 08C  Page 318

Alice in 1931 when Ada married

Name:    George Mather
Death Age:    68
Birth Date:    abt 1867
Registration Date:    Q1 1935
Registration District:    Bolton, Lancashire
Volume:    8c
Page:    449

Probate:
MATHER George of 54 Baxendale Road, Bolton Lancashire died 9 March 1935.  Administration London 3 Sep to Ada Bate (wife of John Bate). Effects £1238 12s 4a