Hi there,
I read that Lucy's death was in 1900, and that James was 1901. I am assuming that James was the informant or at least the source for the informant named on Lucy's d.c. and I hope that James would know his and her year/s of arrival in the Colonies.
On several NSW d.c.s and on a couple of Qld dcs that relate to my own forebears, I have found that the informants must have been asked specific questions re each of the colonies.... eg on a 1893 d.c. (NSW) it gives me "2 years Victoria, 31 years Qld, 17 months NSW".
The online index for Vic deaths gives: 1900, Lucy Burke, Hotham Vic, aged 49, dau of Thos Jos DYKE and Hanorah SMALLWOOD, Registration number: 9456
So the informant for Lucy's death knew not just Lucy's maiden name but also her mother's maiden name.
Cheers, JM