NZ death certificates includes ages and sex of any living children. Deceased children are not listed nor are the names of any living children.
Annie's death certificate (for 1951) record 2 daughters (Irene Claire Walker & Annie Elizabeth Walker) from her marriage to Harold Walker aged 40 and 38 and 2 sons (William George Kenyon & Bruce Manifold Kenyon) from her marriage to William Kenyon aged 26 and 24 yrs.
WNW
Clearly this is untrue as they married in 1945. The re-registration of the births was an attempt to legitimise the births of the sons-- perhaps to present a better picture in the event of the sons' future marriages.
[I am guessing you have "assumed" the actual names of the children of ANNIE, as they are not named on the death certificate].
EDIT OP has edited reply #18 shown in this quote above, so it now has the words
assumed inserted.
I have found that Lilian Kenyon married Robert Leonard Inwood sometime between 1945-1946.
WNW
I would have to query the use of the term
married here in regard to Robert Leonard INWOOD and Lillian KENYON. Perhaps you have managed to see a certificate of the event, but I do not see that, though there are “family trees “ online which say it took place.
In the absence of this, it is difficult to be quite certain that this Lillian, born 1907-- according to the headstone inscription,-- is the same person though it certainly is likely.
I also find it odd that she is recorded on the said "family trees" as marrying in the name KENYON when marrying INWOOD because the “marriage” to KENYON was either bigamous or a fiction as we know.
ADDING HERE Must not ignore the possibility that Lillian
was a married KENYON by some other means we have not yet spotted
Also it is a sign to me that she did not marry INWOOD that she persisted with the given name Lizzie on the Electoral Roll. It may have been a transcription error the first time, but was not corrected to Lillian in subsequent enrolments and changes of address. But, Lillian was used on her headstone. There is no legal requirement that information on headstones must be truthful
Sue