That possible looks good, but it offers a third choice.
It looks like on her marriage, her father, John, was from Elm Bank, Liverpool and some lodge, Alma Lodge, in Anglesey, which fits with my sister in law thinking they were from Anglesey Isle in Wales.
I have seen two trees, one gives the mother's name as Elizabeth Jones, info comes from a census, though the poster is a descendant. The other one has sourced the information from Griffith J.E. "Pedigrees of Anglesey and Caernarvonshire families" , if they have info right, they put Ann Elias. I am not sure how to verify one or the other. If Ann Elias, then there is a lot of ancestry.