Just had a look at Walter BYE's Will, online.
[Will No. 34612] Bye, Walter
Also went onto the website for, northernmidlands dot tas dot gov dot au
And looked at the headstones of the BYE and SMITH families.
"In loving memory of James SMITH
Passed away 23rd January, 1969
Aged 49 Years
Beloved Son of Edith SMITH"
Most likely NOT your Edith, though, as these people are too young.