Name, year and country of birth, from search on New Zealand BDM website in June 2025:
1877/15482. Jones, George Henry. Mother: Hannah. Father: Thomas

Full date of birth of 18 May 1877 from further searching in June 2025 on BDM Search by incrementally changing the date range for the birth.

Place of birth of "Auckland" from the New Zealand Birth Index found in June 2025, so could be ours:
Name: George Henry Jones
Birth Quarter: Apr-May-Jun 1877
Registration Place: Auckland, New Zealand

Was to be verified this is a child of our Thomas JONES and Hannah SAMMELS.

UPDATE: This George Henry Jones is the son of Thomas JONES and Hannah SAMMELS as per George’s Birth Certificate received in June 2025:
Birth District: Auckland
Date Born: 18 May 1877
Where Born: William Street, N Est, Auckland
Name of Child: George Henry
Child With Parent at Time of Registration: Not
Sex: M
Father's Name: Thomas Jones
Father's Rank or Profession: Sawyer
Father's Age: 34 [Was in fact 37]
Father's Birth-place: Cornwall
When and Where Married: May 1866, Kenwyn, Cornwall
Mother's Name: Hannah Jones
Mother's Maiden Name: Sammals
Mother's Age: 30 [Was in fact 31]
Mother's Birth-place: Cornwall
Informant Signature: Hannah Jones (her mark X)
Informant Description: Mother
Informant Residence: Auckland
Name, if added or altered after Registration of Birth: [Blank]