Hmm, I think Eliza might be in Liverpool in 1841!
Nelson St, Liverpool (HO 107/565/3 12/16)
Jane Preston, 40
Jane Neal, 40
Mary Parmeter, 50
Eliza Parmeter, 20
Amelia Parmeter, 15
all born out of county
(I note on the IGI that Eliza Harriet is the daughter of William and Mary and does have a sister Amelia who was christened in 1827)
Incidentally, one of Charles' brothers, Alexander Plenius, appears to marry in Liverpool in 1841 - I wonder if that's how they met?