Daniel Brent?
Daniel Brent was a teacher of mathematics in Dunedin in 1863:

https://paperspast.natlib.govt.nz/newspapers/OW18630404.2.25
Otago Witness, Issue 592, 4 April 1863, Page 5

Daniel Brent appears on the Electoral Roll for Dunedin in 1866 -1867, living in George Street.

Daniel Brent published a book on Euclidean geometry. https://paperspast.natlib.govt.nz/newspapers/ODT19220911.2.62 https://www.nature.com/articles/047454a0.pdf https://caligula.org/images_classics/1895_Williams_Rouse_Key_to_Damon.pdf

Page 204 of this thesis confirms that Daniel Brent the high school teacher presented the paper to the Institute (and got in trouble for it) https://ourarchive.otago.ac.nz/bitstream/handle/10523/10237/BellDavidS1993PhD.pdf Wainuiomartian (talk)