Hi,paulineeldridge

This may be your Dorothy.
MISS DOROTHY E RANDALL Age :23 Occupation:DOMESTIC Birth 1891
Departure ::7 5 1914 Ship CERAMIC .
Departure Port: LIVERPOOL
Destination Port: ALBANY (KING GEORGE SOUND)
State:Western Australia
Country:AUSTRALIA
Source:- Passenger Lists leaving UK 1890-1960
There is no record of a Tate - Randall, Marriage ,Western Australia between 1914 -1919, but there are 14 Tate Baptisms recorded there.
Good Luck with your wall ,

.