Jenny
Did you try Family Search? Its always a good place to start (
www.familysearch.org ).
It gives this for her baptism, from the Etchingham parish register:
Name: Charlotte Stone Oxenbridge
gender: Female
baptism/christening date: 17 Aug 1834
baptism/christening place: ETCHINGHAM,SUSSEX,ENGLAND
mother's name: Eliza Oxenbridge
indexing project (batch) number: K14803-1
system origin: England-ODM
source film number: 1067148
What this tells you is that there is no father named, she was illegitimate.
However, my "guess" would be that her father's name was "Stone", although you would be very lucky to ever find any proof of that, unless her mother did later marry him.
And for her birth, you can only assume it was "before" 17 Aug 1834. Could be anything from hours to years before, though about 3-6 weeks is common.
The same site may well yield further info on her mother.