I cannot find your Edith May CROOK at Arncliffe in 1943 NSW Electoral Roll.
Edith May Crook (nee Wyatt)
b. 26 Aug 1885 Springhill Qld
Father: William Edward Wyatt
Mother: Mary Ann Elizabeth Delaney
Last ER 1943 Arncliffe NSW
NSW ER 1937
Edith May CROOK, 59 Hannam St, home duties
Robert James CROOK, same address, no occupation (to me that is indicating a person who has retired).
I can see a NSW marriage in 1916 indexed for Robert J CROOK and Edith M WYATT. Registered Sydney #12882.
I can see a NSW death in 1950 indexed for a Robert James CROOK registered in Sydney.
Have you looked for notices in the digitised newspapers, free to search
http://trove.nla.gov.au/ndp/del/home Cheers, JM