The 1861 census with Richard and Lydia and Lydia's mother Ann Woodword clearly show Richard is born Liverpool.

Born: Liverpool
Recorded as aged 65, born in Lancashire on 1891 censis
Recorded as aged 81 in March 1902 (at death)

RICHARD TIMMIS
Christening:  20 AUG 1826   Saint Peter, Liverpool, Lancashire, England
Parents:
  Father:  RICHARD TIMMIS
  Mother:  ELLEN 

A patient in Clatterbridge hospital in 1901

He recorded his age as 79 in 1901 census, but was in fact only 75.  However, this fits with his age at death as 81 in 1902.

Deaths Mar 1902   (>99%)
Timmis  Richard  81  Wirral  8a 293

Died at the Union Workhouse, Poulton-cum-Spital, R.D. (Bebington) according to an Ancestry.co.uk family tree

1851 Little Neston, Cheshire, Aged 16

Name:    Lydia Woodward
Gender:    Female
Baptism Date:    24 Jul 1835
Baptism Place:    Neston, Cheshire, England
Father:     James Woodward
Mother:     Anne Woodward
FHL Film Number:    2105093

Lydia Woodward, daughter of James a Collier and Anne

Death:06 MAY 1908
68 Chatham Road, Rock Ferry, Birkenhead 

Born: Neston Cheshire

Aged 3m old in 1861
Aged 49 in 1911

Cheshire Birth indexes for the years: 1861
TIMMIS    Ellen Ann         Neston, Wirral    NES/7/100

TIMMIS, ELLEN  ANN      WOODWARD 
GRO Reference: 1861  M Quarter in WIRRAL 
Volume 08A  Page 365

Name:    Ellen Ann Timmes
Gender:    Female
Baptism Date:    22 Feb 1861
Baptism Place:    Neston, Cheshire, England
Father:    Richard Timmes
Mother:    Lydia Timmes
FHL Film Number:    2105093

JUDGE Ellen Ann of 67 Derby Road, Birkenhead widow died 30 June 1937. Administration Liverpool 6 August to William Woodward Judge post office clerk. Effects £222 8s 3d.

Aged 9 in 1871
Aged 19 in 1881, born Neston
Aged 28 in 1891
Aged 39 in 1901

TIMMIS, MARY  JANE      WOODWARD 
GRO Reference: 1862  J Quarter in WIRRAL 460A 
Volume 08A  Page 423

Cheshire Birth indexes for the years: 1862
TIMMIS    Mary Jane     Neston, Wirral    NES/9/27

Born 23 Sept 1868 according to the 1939 register, but they seem to be a year out with her age.

Name:    Mary Jane Timmis
Gender:    Female
Baptism Date:    25 May 1862
Baptism Place:    Neston, Cheshire, England
Father:    Richard Timmis
Mother:    Lydia Timmis
FHL Film Number:    2105093

Probate:
TIMMIS, Mary Jane of 537 Old Chester-road Birkenhead spinster died 20 March 1951. Probate Chester 11 April to William Woodward Judge retired telegraphist. Effects £180 1s 1d.

Born: Birkenhead, Cheshire about 1864 according to 1891 census. 

Cheshire Birth indexes for the years: 1863
TIMMIS    Lydia         Neston, Wirral    NES/9/74

All family recorded as from Birkenhead in 1891, but 1901 census shows Lydia is from Neston (and all others from Birkenhead), so this is more likely to be correct.

Ann Hale (nee Brereton) recorded Lydia's birthday as 14 Jun 1863.

Aged 47 on 1911 census (born Neston, Cheshire)

TIMMIS, LYDIA        WOODWARD 
GRO Reference: 1863  S Quarter in WIRRAL 
Volume 08A  Page 369

Name:    Lydia Timmis
Gender:    Female
Baptism Date:    17 Jul 1863
Baptism Place:    Neston, Cheshire, England
Father:    Richard Timmis
Mother:    Lydia Timmis
FHL Film Number:    2105093

Probably died before 1925, and mum (Joan Dittmer) never met her grandparents.

The funeral took place on Saturday at Flaybrick Hill Cemetery, of Mrs Lydia Brereton who died on the 6th inst., in her 55th year at the Red Lion, Tunnel-road. The Rev H Leigh Mallory officiated. 

Deaths Mar 1918   (16%)
Brereton  Lydia  54  Birkenhead  8a 601

The cemeteries office at Landican have confirmed Lydia was buried on 9-Mar-1918.  She was the first in a 4-person grave.  In the same grave was interned Richard, two years later.  The grave is in CoE Section 2, Grave No. 789.