Thanks JM, I don't have her marriage certificate as yet. I have a photo of her headstone which just has her name under her husband's, Hannah Gaffney 1876 - 1958 RIP. Not much help there.
Her death certificate gives a reputed birthplace as Glasgow, Scotland. Age at marriage 16 (a strange thing to have on a death certificate) then just numbers for male 1 and female 5 children and the cause of death. The girls names in order were Mary, Margaret, Hannah, Kathlene, Phyllis. We think her middle name may have been Mary.
We have considered variations including (H) Anna and Helen which her daughter Hannah used. I will look for a marriage with the groom Forrester in Tasmania, we hadn't thought of that one, thanks.
Kevin