Looking at her age - I can only see 1 that matches for a baptism in Liverpool
Baptism: 26 Feb 1826 St Peter, Liverpool, Lancashire, England
Eliza Davies - [Child] of Job Davies & Mary
Abode: Edmund Street
Occupation: Officer in the Customs
Job Davies might be the J.D. on her arm ?
I am not saying it is your Eliza - just that it might be - so make a note of it - good luck

added - if it is - Litherland is about 2 miles from St Peter church
Baptism: 20 Mar 1814 St Helen, Sefton, Lancashire, England
Job Davis - S of Thomas Davis & Mary
Abode: Litherland
Occupation: Gardener
plenty of William Davies baptisms for parents William and Elizabeth at that period - but no Elizas