One person has DOB as 10 Dec 1887 but this must be wrong

Lancashire Birth indexes for the years: 1886
MILLER    Fred    MATHER    Prestwich    PREST/20/38

Name:    Fred Miller
Age:    0
Birth Date:    5 Oct 1886
Baptism Date:    2 Feb 1887
Baptism Place:    Rhodes, All Saints, Lancashire, England
Father:    Joseph Miller
Mother:    Jane Miller
Reference Number:    L178/1/1/1
Item Number:    5
Archive Roll:    559

Name:    Frederick Miller
Birth Date:    1887
Death Date:    10 Jul 1961
Cemetery:    Liverpool Cemetery and Crematorium
Burial or Cremation Place:    Liverpool, Liverpool City, New South Wales, Australia
Has Bio?:    N
URL:    https://www.findagrave.com/mem...

Headstone:
1590 Private F Miller
2 Battalion. 8 July 1861, Aged 74
Dearly Loved and Sadly missed by his
wife Nellie, sons Alfred and Keith

Name:    Mary Ellen Miller
Birth Date:    1888
Death Date:    22 Jul 1976
Cemetery:    Liverpool Cemetery and Crematorium
Burial or Cremation Place:    Liverpool, Liverpool City, New South Wales, Australia
Has Bio?:    N
URL:    https://www.findagrave.com/memorial/152810154/mary-ellen-miller

Born: Liverpool, NSW

Buried at Liverpool Cemetery, New South Wales, Australia
Anglican E Section
Grave 97 (Row E8)

From Bundaberg, Queensland, Australia (maybe born Liverpool, NSW)