Name from birth search of son on New Zealand BDM website in April 2019:
1907/8559. Ferguson, Arthur Robert. Mother: Daisy. Father: William John

Year and country of marriage from search on New Zealand BDM website in April 2019:
1904/5459. Bride: Daisy Ralph. Groom: William John Ferguson

Full date of marriage of 21 September 1904 from further searching in April 2019 on BDM Search by incrementally changing the date range for the marriage.

Children of William and Daisy found on the New Zealand BDM website in April 2019:
1905/674. Ferguson, Alfred William. Mother: Daisy. Father: William John
1906/2754. Ferguson, John. Mother: Daisy. Father: William John
1907/8559. Ferguson, Arthur Robert. Mother: Daisy. Father: William John
1909/15903. Ferguson, Daisy. Mother: Daisy. Father: William John
1911/14758. Ferguson, Harold Lawrence. Mother: Daisy. Father: William John
1914/7314. Ferguson, Lily. Mother: Daisy. Father: William John
1917/4529. Ferguson, Alice. Mother: Daisy. Father: William John

Year and place of birth, date and place of death, from Australia and New Zealand Find a Grave Index found in April 2019:
Name: William John Ferguson
Birth Date: 1876
Birth Place: Milton, Clutha District, Otago, New Zealand
Death Date: 31 Oct 1954
Death Place: Dunedin, Dunedin City, Otago, New Zealand
Cemetery: Andersons Bay Cemetery
Burial or Cremation Place: Andersons Bay, Dunedin City, Otago, New Zealand
Father: William Ferguson 1851–1929
Mother: Elizabeth Ferguson (Buchanan) 1851–1914
Spouse: Daisy Ferguson 1885–1944
Children: Alfred William Ferguson, John Ferguson, Lily Keen
URL: https://www.findagrave.com/memorial/143732168
Siblings: Alexander Ferguson 1882–1947, Isabella Ferguson 1884–1915, Margaret Ann Ferguson Allison 1889–1970, Catherine Ferguson Hancock 1892–1986.