Interesting catch -up thanks Margaret.
Regarding the mystery woman who registered the child and who possibly traveled to Australia as Ure.
If you have not already done so,it may be worth following up on the inhabitants of the address I have given previously,
22 Yonge Park, Finsbury Park, N4
As mentioned, this was given as the last address of the Australia bound couple on the shipping information.
Residents names as given previously, were-
1922 at 22 Yonge Park
FURNACE, Sydney
FURNACE Annie.
FURNACE, Albert William
RUSTON, Edwin
RUSTON, Lena
1919 22 Yonge Park
FURNACE Annie.
FURNACE, Albert William
FURNACE, Samuel James
There could be a DNA connection to suggest either of these surnames are relevant to your search.
Sue