Zipporah Williamson born June qtr 1876 Hayfield Derbyshire 7b 810.
Hayfield will be a registration district not to be confused with the place she might be living.
You can order her birth certificate online at
www.gro.gov.uk at a cost of £7 which will give you her parents names, including mother's maiden name and their occupations. Unless you can find the baptism entry at the local Records Office then this is your best bet for getting their names and so help you to continue.
You could also give the full details from the 1881 census and we could try and find the family in earlier censuses and try to identify who were the parents, mahybe by process of elimination of other familiy members, but this wouldn't be definitive, only the certificate will prove absolutely.