Thank you for your reply, I will try the leads you gave me in the morning [11.30p.m. here]

I re looked up William Carrin and Jane Callister on L D S and only found 2 children [Jane 1818 and William 1824]for them.
So these two are not her parents.

On Elizabeth's death certificate, 27.3.1886, it states father William Carin ,Builder and mother Jane, maiden name unknown

She married James Francis Edwards from Liverpool before they emigrated to Australia