I don’t see a birth for Eliza Hughes, 9 yrs - c1842, Leeds.
There is a baptism for Rose Hughes in 1832, daughter of Laurence and Katherine Hughes (denomination Catholic).
More importantly perhaps, there is a baptism for Ann Hughes, 30th April 1830 with a sponsor Bridget Trainor
These are found in ‘ All England & Wales, Non-Conformist and Non-Parochial Registers, 1567-1936’ (Ancestry)