From 1939 found assumed parents of James Edward = Thomas b 1882 and Florence b 1890. There is a widowed Sarah MARTIN with them.
Looking for a Winifred with same parents found the 1911 I have linked to.
Found birth that matched at GRO
found the attestation with Wife Emma MARTIN and two other children.
(John and Kate Hawkins, witnesses for the marriage can be found in Tottenham 1911 he is a plasterer as well. Annoyingly they ALSO have a son George b abt 1904)
Address on attestation is same as for a MARTIN family who have a dau Florence the right age. added. And mother is Sarah
Several problems
1 cannot find Emma, George or Thomas in 1911
2 cannot find a death for Emma that fits
3. Cannot find Emma with the Sidney Augustus Martin Family, so do not know how old she was, or if their daughter. There is another Tottenham Martin family with dau Emma b 1884 parents George and Sophia but Ancestry going slow on me at the moment and image won’t load.
So alternative scenario is Emma is a cousin or similar relation to Florence
added
But as I said before, need certificates one by one. This is just a proposition that I think does satisfy many points. Could easily be wrong as we know.
Especially as there are numerous Hawkins and Martin families in the Tottenham area and Edmonton registration district.