I see the Anna Bate you mean with her daughter Murial and sister Mary Pope. These girls are the daughters of Henry Pope and Joanna Brenton married 06 Oct 1855 in Padstow. In 1891 they give their ages as Mary Pope25 and Anna Bate 27. HOWEVER in 1881 they appear with their parents as Mary Pope and Anna Bate and Anna is 25 and Mary is 20. Now Anna is born in 1856 so she is very creative with her age

I eventually found a marriage for her in June Quarter of 1879 to Mark Bate in Cardiff. I believe him to be Mark Bate born 1853 in St Endellion to Samuel Bate and Mary Ann French married in Mar Q of 1846. So that probably solves that little mystery and all because she lied about her age!!