Following earlier thinking, but today with the advantages of the Census records, it seems this PC Harding is a different Cornelius completely from yours, but I still think maybe related as Cornelius seems to have been a traditional Harding name in Glos.

1911 Census, Police Station, Hucclecote, Nr Gloucester
Name Relation to Head Birth Date Age Gender Marital Status Years Married Occupation Birth Place
Cornelius Harding Head 1872 39 Male Married 13yrs Police Constable Olveston, Gloucestershire
Jean Annie Harding Wife 1871 40 Female Married 13yrs Ferrintock, Ross-shire
Phineas John Harding Son 1900 11 Male school Churchdown, Gloucestershire
Elizabeth Constance Harding Daughter 1905 6 Female school Churchdown, Gloucestershire

Could his place of birth be Alveston, so near Newnham as per his Marriage Record ?, see later.
Wife since abt 1898 is Jean Annie nee Fraser, from Scotland via Gloster, all as per the earlier Marriage Record.

1901 Census, Gloucester Rd, Churchdown, Tewkesbury, Glos
Name Relation to Head Age Estimated Birth Year Gender Birth Place
Cornelius Harding Head(Police Constable) 29 1872 Male Olveston, Gloucestershire, England
Jean A Harding Wife 32 1869 Female Scotland
Phineas J Harding Son 1 1900 Male Churchdown, Gloucestershire, England

1891 Census, Crescent Place Police Station, Cheltenham, Glos (next door to No 1 Crescent Place, Temperance Hotel)
Given Name Surname Relationship Gender Age Estimated Birth Year Birth City or District Birth County Birth Country
Cornelius Harding (Police Constable,Servant) Male 19 1872 Olveston Gloucester

(plus another few dozen Police Constables & senior staff, Cheltenham's main Police Station ?), and this possible link to his future wife ?

Donald McRae Head(Superintendant of Police) Male 49 1842 Scotland
Mima McRae Wife Female 50 1841 Scotland
Annie McRae Daughter Female 23 1868 Cheltenham Gloucestershire England ??

Note: In 1871 the McRae family are at Cheltenham, Donald a Police Constable, but by 1881 they are all at Coleford Police Station, No 1 Coalway Rd. Could Annie(same age & name? as his future wife), or at least her father Donald, have known Cornelius then ?.
Also at the Coleford Station in 1881 are Sergeant Henry Newman (bPauntley) & family, and PC William Hall (bNorthleach). Perhaps a coincidence but a very close neighbour is a William Morris, ironmonger's assistant, b1851 Coleford - would he become PC Morris, murdered colleague of PC Harding, too old perhaps ?...

1881 Census, Cross Hands, Thornbury, Glos
Given Name Surname Relationship to Head Marital Status Age Estimated Birth Year Gender Occupation Birth City Birth County
Phinehas Harding Head Married 48 1833 Male Police Constable East Dean Gloucestershire
Elizebth. Harding Wife Married 38 1843 Female Northleach Gloucestershire England
Cornelius Harding Son 9 1872 Male Scholar Olveston
Jesse Harding Son 7 1874 Male Scholar Olveston
George Harding Son 6 1875 Male Scholar Olveston
Harry Harding Son Male Infant Almondsbury

1871 Census, Police Station, Olveston #,West Glos
Given Name Surname Relationship Age Estimated Birth Year Gender Birth City Birth County Birth Country
Phinepas Harding Head 37 1834 Male(Police Constable) Ruardean Woodside Gloucestershire
Elizabeth Harding Wife 27 1844 Female Northleach
John Smiddy 22 1849 Male(Police Constable) Youghal Ireland
James Steffe 30 1841 Male(Police Constable) Ballyanbritez Ireland

# This is definitely Olveston/Alveston between Thornbury and Aust, just across the Severn Bridge from FoD.

SO, PC Cornelius Harding is son of Phineas Harding of Ruardean Woodside, his Baptism takes us full circle back to Cornelius & Elzabeth as my prior post, so definitely same family; think that makes Phineas the older brother to Cornelius b1834 & Elizabeth;

Record_ID: 57068
Entry_Number: 590
Year: 1832
Month: Oct
Day: 14
Parents_Surname: HARDING
Child_Forenames: Phineas
Fathers_Forenames: Cornelius
Mothers_Forenames: Elizabeth
Mothers_Surname:
Residence: Forest of Dean
Occupation: Labourer
Officiating_Minister: T. D. Fosbroke Min[iste]r
Event: Baptism
Memoranda: son of
Notes:
Register_Reference: P275 IN 1/7
Page_Number: 74
Parish_Chapel: Ruardean
Soundex: H635

Record_ID: 98655
Entry_Number: 64
Year: 1869
Month: Dec
Day: 15
Grooms_Surname: HARDING
Grooms_Forenames: Phinilus
Grooms_Age: full age
Groom_Condition: Bachelor
Grooms_Occupation: Police Constable
Grooms_Residence: Leigh
Grooms_Fathers_Surname: Harding
Grooms_Fathers_Forenames: Cornelius
Grooms_Fathers_Occupation: Labourer
Brides_Surname: MILES
Brides_Forenames: Elizabeth
Brides_Age: full age
Brides_Condition: Spinster
Brides_Occupation: [not stated]
Brides_Residence: Hasleton
Brides_Fathers_Surname: Miles
Brides_Fathers_Forenames: George
Brides_Fathers_Occupation: Labourer
Licence_or_Banns: Banns
Date_of_Banns:
Signature_or_Mark: both sign
Witness_1: Henry Swatton
Witness_2: Sarah [illegible] Buckle
Other_Witnesses:
Officiating_Minister: John T Austin Vicar
Event: Marriage
Memoranda:
Notes: Best guess at Groom`s Forename
Register_Reference: P199 IN 1/9
Page_Number: 32
Parish_Chapel: The Leigh
Soundex_Groom: H635
Soundex_Bride: M420

Elizabeth Miles is from "Hazleton", or "Northleach" wrt Census, born abt 1844.
Hazleton is a small village just off the A40 Cheltenham - Oxford road, near Northleach and the ancient Fosse Way A429.
http://www.genuki.org.uk/big/eng/GLS/Hazleton/Gaz1868.html

1861 Census, Cookham Hill Cottage, Hazleton, Glos

Household Number Given Name Surname Relationship Age Estimated Birth Year Gender Birth City Birth County
George Miles Head(Ag lab) 37 1824 Male Westall Oxfordshire
Sarah Miles Wife 37 1824 Female Aldsworth Gloucestershire
Elizabeth Miles Daughter 14 1847 Female Northleach Gloucestershire
Sarah Ann Miles Daughter 12 1849 Female Hazleton Gloucestershire
Eliza Miles Daughter 5 1856 Female Hazleton Gloucestershire

---------------

So there's some "evidence" that Cornelius marries Annie, daughter of his Police boss Donald Macrae; however FreeBMD states he marries a Jean Annie FRASER in 1897, and I cannot find an earlier marriage to a Mr Fraser for Annie Macrae, so ??.

Hi Jeff

The Police Constable Cornelius Harding born 1871 was the son of Phineas Harding born 1832, brother to my Cornelius also known as Thomas Cornelius. You gave me the Marriage of a Cornelius Harding in 1864, I believe this Cornelius Harding was born in 1838 son of James and Lydia nee Smart, Harding. Not sure who James' parents were.

The Charlotte Ann Harding you mention was registered as ANNIE, daughter of Cornelius and Johannah nee DAVIS, Harding. She was my grandmother and I have her Birth Cert.

Thanks for your help.