UPDATE!
With an immediate reply from Karrakatta cemetery who indeed have the records for Kathleen May and husband Arthur Wilkinson and with further information. They married in Perth 1923 and her maiden name was PRICE. I can't find a birth for her in the UK so guess she was born in Oz. Arthur was born here in Bradford, Yorkshire and he, his parents and siblings sailed from Liverpool to Fremantle in 1913.As I said, I don't have her birth nor Death Notice/Obituary.
I started this work as I am intrigued as to how Jean Watson knew the Wilkinson family in Nedlands but haven't worked out how yet,nor do think I will! Very many thanks for the input received so far which enabled me to follow the info Christina found. If anything further can be found for Kathleen it would be great. with thanks Jill.