Thanks for the message and I would be really interested to get some more information. However, I have some info for you too!
I checked again with my mother as I was trying to work from information from my grandmother who passed away a few years ago. My grandmother was admanant that Alice was her grandmother but I always thought it was from the maternal line. It now appears that Alice may have adopted or looked after my great-grandfather - George Dawson.
I'm going to try and look into this more but will post again when I have some more details.
Thanks again and best wishes,