Not the John, son of Robert and Mary Ann.  That John was from Pendleton, baptised at Manchester and his father was a machine printer.

Born 2 Mar 1839 according to US Naturalization Record Indexes,

Aged 12 in 1851, born Bolton
Aged 22 in 1861, born Bolton
Aged 27 in 1870, born England (with Betsey 25)

Aged 24 in 1870, born England
Aged 34 in 1880, born England
Aged 50 in 1897 (when married), born England
Aged 53 in 1900, born March 1847 England
Aged 69 in 1910, born England

Lancashire Birth indexes for the years: 1839
MATHER    John    CARR    Western Bolton    WB/3/241

MATHER, JOHN        CARR 
GRO Reference: 1839  M Quarter in BOLTON UNION 
Volume 21  Page 116

Robert was 69 in 1910 and had started using his correct age again.  By 1920, he had died and Martha was head of house, Widowed.

U.S. City Directories, 1916, Massachusetts Lawrence
Mather John (Martha) died Apr 20 1916
Martha widow, John h 19 Willows.

Aged 25 in 1897 (when married a much older John Mather)

Born 11 Aug 1898 (on death record)

Aged 1 in 1900
Aged 11 in 1910
Aged 21 in 1920

Name:    Robert Mather
Social Security Number:    027-03-9691
Birth Date:    11 Aug 1898
Issue year:    Before 1951
Issue State:    Massachusetts
Last Residence:    91763, Montclair, San Bernardino, California, USA
Death Date:    Jun 1964

Name:    Robert F Mather
Social Security #:    027039691
Gender:    Male
Birth Date:    11 Aug 1898
Birth Place:    Massachusetts
Death Date:    3 Jun 1964
Death Place:    San Bernardino
Mother's Maiden Name:    Hogue

Aged 8 in 1910

Name:    Margaret Mather
Event Type:    Birth
Birth Date:    24 Jan 1902
Birth Place:    Lawrence, Massachusetts
Father Name:    John Mather
Mother Name:    Martha Haigh