Rhoda's father?:
Death, WA, 1946 #23, registered at Canning WA
Charles E OLD
There are death notices for this man,
Charles Edward OLD, aged 61 (b abt 1884), whose wife is shown as Ethel Mary and he has step-sons Allan and Trevor WEARE. There is no mention of a previous wife or children.
http://trove.nla.gov.au/newspaper/article/46158295However on the next day is a death notice which states that he is the father of "
Rhoda and Dorothy (USA)" - no mention that Rhoda is deceased.
http://trove.nla.gov.au/newspaper/article/46158517Outgoing UK passenger list show a
Chas E OLD, farmer ticketed to Fremantle, 3rd class passenger on the Omrah out of Tilbury (London) March 1911, with his wife named "Mrs"

Fremantle inward passenger lists correspond with
Mr and Mrs Chas OLD arriving 4 April.
Quite a long gap to Rhoda's birth, though

1937 Electoral roll, at Gwalia, Mount Leonora, Kalgoorlie District
Charles Edward OLD, contractor
Anne OLD, home duties
Judith