Hi HollyMM,
Welcome to Rootschat 
What time frame are we looking at?. I see you are in N.Z. did she die there?
We need more info to start searching please.
Trish
The time frame we are looking at is around 1862 to 1940 (when she died). In my notes, it does not say where she was born (though it does say her parents were Thomas and Mary-Anne (name may be misspelt) and said parents were half-French and half-Indian.
And, yes, she did die in New Zealand. I quote from a website:
DAVIES.
Herald, 20th June 1940.
On June 19th at the residence of her daughter, Mrs Pascoe, 8 O'Rorke Street, Onehunga, Agnes, widow of the late Charles Arthur Davies and mother of Ruby, Agnes, Margaret, Ethel, Lucy, Jim, Walter, Bill, Dick, Lou, Tom and Charlie, in her 78th year. Requiem Mass will be celebrated at the Church of the Assumption, Onehunga, today Friday at 9 am, the funeral then leaving for the Mangere Cemetery at 3pm.
By the way, Onehunga is in Auckland, NZ.

(From
http://freepages.genealogy.rootsweb.ancestry.com/~funeralnotices/D1.htmlI know her father's name must've been Menase, however (so, Thomas Menase).
She moved to NZ with her husband, Charles Arthur Davies, in around 1889. (Her son, Llewellyn, was born in Heathcote Valley (Christchurch/Canterbury in NZ) in 1890).