Where do you get the name 'Falliers' from? According to her marriage and birth of son Peter J. Morris (which, incidentally was registered in Sept.qtr.1919 so his birthday was not in October), her name was Fathers and indeed Gertrude Alice Fathers birth is registered Dec.qtr.1890 Christchurch, Hampshire and census shows she was the daughter of a William and Mary Kate (nee Newett) and her birthplace was actually Winton, Hampshire.
Did this family end up in New South Wales, Australia? If so, when did they arrive as I cannot see them listed on UK outgoing passenger lists.
I can find in electoral rolls a Gertrude Alice Morris living with a James Morris at 36 Benaroon Road, Lakemba, Belmore, NSW and later a Peter James Morris too. I can't, however, find a Grace Morris living with them nor is there a likely birth in the name Grace here in UK around the relevant period.