When I read that article from Dec 1900 I don't get the idea that her daughter was illegitimate; I think she was of relatively advanced age, and had been an army nurse when she was younger, then married (maybe more than once?) and settled, and when the war began had been in SA from some time. She is, therefore, unlikely to appear in British consulate records.
Isandlwana and Rorke’s Drift - the area where her/her husband's farm was, and where her daughter was buried
Dundee - she then set up a nursing home here. Her husband joined the Imperial Light Horse and had been "at the front" throughout the war.
Dundee then becomes tangled up in the war - Mrs "Wier" makes her way from Dundee to Talana Hill to assist.
She was then at Estcourt, and Frere, finally making her way to Ladysmith, Maritzburg (where she brought a patient), and then finally back to Dundee when the British retook it (putting her death sometime after May 1900 and before the Dec 1900 article).
A William Arthur Weir was part of the Imperial Light Horse:
http://www.britishmedals.us/files/127ilh.htmI wonder if this is possible?
William Arthur Weir, 38, married a widow, Mary Hilder, 37, in 1891 in Natal.
https://familysearch.org/pal:/MM9.3.1/TH-267-11859-87316-14?cc=2063749
