Hello Julie,
Sorry, I dropped off the radar there for longer than anticipated!
I have some basic information pertaining to Alice Rose Havard.
Born 29/06/1895 in Dunedin, New Zealand. (NZ BDM code 1895/8085.)
Married Arthur Montgomery in 1918. (NZ BDM code 1918/2301.)
Daughter Lena Montgomery born 18/03/1919. Lena was my mother's birth mother. (As Mum didn't grow up in the same household as Lena, it's a bit of a tricky part of the tree to research.)
Lena died on 27/03/1994.
Mum has always believed that Lena had a brother, possibly named Fred or Frank, but because of the NZ BDM birth search restrictions (plus the fact that I'm waiting for more time to pass before delving too deeply into Lena's life), so far I have only come across a Frank Montgomery who died at age two with code 1926/5735.
As for Alice Rose, she lived for a time at a place named Rose Cottage, in Caversham, Dunedin.
She died at Cherry Farm Hospital in 1968.
These are the absolute basics, I must say! I hope to eventually compile a more comprehensive profile sourced from official sources, but am limited as to what I can do for the time being.
I hope this is a good start.

Kind wishes,
Imogen