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Thanks everyone for your information and interest in my Norman family.
Margaret's father John Norman was born in Jarrow Co. Durham and his parents were Cuthbert Norman and Elizabeth Robinson so Monica is on the right track.  I wasn't aware of another child Elizabeth born to John Norman who was born between Margaret and Thomas so thank you for that. I did think that Jane's maiden name may have been Webster because two of their children have the middle name of Webster. Another child was Benjamin Robinson Norman he was given the name Robinson after his Grandmother whose maiden name was Robinson.
I  have been unable to find a marriage record for John Norman and a Jane Webster anywhere in England so I thought they may have married in Scotland since Margaret states her birth place as Scotland. However I did find a marriage record on FBMD  for a John Norman to a possible Jane Brown in Tynemouth Northumberland Dec Q 1851 and after tracking down a Jane Brown on the 1851 census living in Tynemouth I find that she was born in Lanarkshire Scotland too so I wondered if Webster was the correct maiden name for Jane after all. but after seeing the record of Elizabeth's baptism and her Mother's name as Jane Webster Norman then Webster must be correct after all.
It would be a good idea though for me to purchase one of Margaret's siblings birth certificate to confirm Jane's maiden name. My next step would be to try and find a marriage record for John Norman and Jane Webster, and now I have come in a full circle, still trying to find a record of my Great Grandmother Margaret's birth.
Thanks again everyone for all your help, I am really impressed with the response.

Oh! I didn't know that I could register and search for free, I thought a subscription would have to be bought. Thanks, I will give it a try.

Thanks for your reply,
I didn't mean this to become so complicated but I really do appreciate your information and your time.
I have looked closely at the Census transcriptions and I do realize that the information recorded is not always 100% correct in the recorded ages and names. I did find a burial record for who I think was Margarets mother who died in 1883 in Featherstone Yorkshire, England, her name was recorded as Jane, her age of death ties in with her approximate year of birth according to census returns and on the 1881 census she was living in that same location with her husband and Margarets younger siblings. So yes I do think Jane and Ann are the same person and the enumerator may have thought Jane sounded like Ann.
I did not know that statutory registration in Scotland began in January 1855 so it's very possible that Margaret was born before that date and her birth may have been recorded in parish registers.
Do you have access to the parish registers?

Thanks for taking the time to look for a birth for my Great Grandmother Margaret Norman. In the 1861 census and onwards she is living in Newcastle upon Tyne England, on all the census her year of birth is listed as 1855 and born in Wishaw Scotland. Father John and Mother Jane. I gave the benefit of the doubt as her year of birth to be one year either way. Margarets mother was born in Wishaw Scotland too, her Father was born in England, Margaret was their eldest child, her siblings were all born in England.  Is there a possibility there might be a baptism record for her in Wishaw or any surrounding parish?
I really appreciate your help and thanks again.