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I don't have any certificates at all. With thanks to GR members and an outside researcher, I have been able to get as much information as I have, which is more than I dreamed of. Frederick is the direct paternal line to my Great Grandmother, so an important person to trace. It has been relatively easy finding inlaws to other children, just can't pinpoint this one.
My G Grandmother died when nan was 13. She was an only surviving child, and her father died when she was young too. There are no family relatives remotely close that are alive and available to help, so no way to get certificates through the family.

The certifcate from the second marriage should list his father's name

Yep, I've used everything except for Ancestry as I can't afford the membership. And I don't dare use the free trial 'cos I just know I'll forget to cancel.
Here's something interesting that I saw on Ancestry...a hint that I can't follow up of a Frederick Smith, born in Dereham Norfolk..MASSACHUSETTS USA, and died in Bethnal Green. This could be the reason there is no info, if he was from USA.

Have you tried a search on this site to see if anyone else is looking for the family, or the IGI on familysearch.org
Liz

REVISED..Need help with census information
I have found information about my GGG Grandfather Frederick Smith, but can't find anything about his parents and earlier ancestry.
Frederick (Fredrick) was born 1801 East Dereham, Norfolk. Possible death 1867 or 1871 Bethnal Green. Married to Elizabeth Rigby (1799) 1820, and had 3 sons. Remarried to Elizabeth Brees (Breese, Breeze) (1818) 1838.
I have the children's information, and Elizabeth Brees' family information back to 1670's.
I have 1841, 51 and 61 census all addressed similar place...Ely Place.
I do not need information regarding his children, but trying to find his parents and siblings.
Thanks.
Further information...Records found for FREDERIC LEAKE, born base to SUSANNAH SMITH 1800.