There is a Sybil FOGEL on the London Electoral Registers in 1934 and 1935 in Hackney :
1934
209 Albion Road
Maurice FOGEL
Milly FOGEL
Nathan Alec FOGEL
Sybil FOGEL
1935
209 Albion Road
all names as above
Earlier entries in the Registers indicate that Nathan and Millie FOGEL are the householders. I can find the couple on the 1921 census with their children but there is no Sybil in the family. The nearest birth of a girl I could find on GRO is Sarah FOGEL. Certificate details as follows :
15 March 1913 at 36 Richard Street / Sarah / girl / Nathan FOGEL / Millie FOGEL formerly SCHAFFER /Tailors Presser / N FOGEL father 36 Richard Street
I believe I have found Nathan FOGEL , with wife as Minnie , in 1911 here :
https://www.familysearch.org/ark:/61903/1:1:XWG1-QSQIt seems unlikely that Sarah FOGEL is Sybil and it is possible that Sybil FOGEL is related to this family but is not a daughter of Nathan and Millie. I cannot get any closer to making a connection. In addition Henry & Sybil AUDLEY are on the Electoral Register in Chelsea in 1947 with Kate FOGEL , but I haven't been able to connect Kate FOGEL either.
The marriage certificate seems the only way forward.