The 1889 Marriage in NZ to Emma Cotton
can only see one child. William Ernest Dixon in 1889
Death of Emma 1894
https://paperspast.natlib.govt.nz/newspapers/TS18941121.2.23?end_date=31-12-1894&items_per_page=10&query=Emma+Clarke&snippet=true&start_date=01-01-1894I cannot see what happened to William Ernest Dixon Clarke, but perhaps you know??
Second marriage 1896 to Christiana COX
https://paperspast.natlib.govt.nz/newspapers/TS18960318.2.16?end_date=31-12-1896&items_per_page=10&query=cox+clarke&snippet=true&start_date=01-01-1889He is still the only son of William Robert of Pickmere
WW1 record for Leslie
Hurstfield Clarke son of William Robert Clarke, born
England and Christiana Clarke born Christchurch
So - I would propose that William Robert Clarke husband of Emma Cotton and Christiana Cox is the same man.
He was born in Barton, Cheshire, in 1865 and is NOT the son of William Robert Clarke & Georgiana.
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1891Pickmere, Great Budworth, Altrincham, Knutsford
William Clarke (indexed as Clerke on Ancestry) age 57 born Meriden, Warwickshire. Boot and Shoe maker
wife Jane 59 born Cogshall, Cheshire
address is Pickmere Road
1881St Mary, Great Budworth, High Street
Willm R Clarke, Grocer and Shoemaker 45. B Meriden, Warwickshire
Jane 47, Cogshall, Chester
Wm R 15, Painter b Barnton, Chesher.Rebecca 13 born Budworth, Chesher.
1871High Street, Great Budworth
William Robert Clarke 37 Boot &. Shoe Maker b Meriden, Warwickshire
Jane 39 born Cogshall
William Robert 5, b BarntonRebecca 3 b Gt Budworth
A marriage Runcorn, Cheshire 8a 273 4th 1tr 1863
William Robert CLARKE and Jane
HURSTFIELDbirths
CLARKE William Robert. mmn HURSTFIELD. 1865 Dec qtr, Northwich, Vol 08A page 196
CLARKE Rebecca. man HURSTFIELD. 1867 Dec qtr, Runcorn, Vol 08A, page 163
I haven't noted here the later censuses, or earlier ones, but William Robert senior can be followed in both directions. Jane died and he remarried and had another son