Hi Pat
Well this is what I have found on Edward Eden so far. I think from what you say that you have seen the 1881 census but I will post it here anyway.
Marian
1881 census of England
Name Relation Marital Status Gender Age Birthplace Occupation Disability
Edward W. EDEN Head M Male 37 Peckham, Surrey, England Accountant (Clerk To A Chartered Accountant)
Kate M. EDEN Wife M Female 28 London, Middlesex, England
Marion E. EDEN Daur Female 7 Hackney, Middlesex, England Scholar
Edward C. EDEN Son Male 6 Hackney, Middlesex, England Scholar
Florence A. EDEN Daur Female 4 Hackney, Middlesex, England
Mary EDEN Daur Female 2 Hackney, Middlesex, England
Albert A. EDEN Son Male 9 m Hackney, Middlesex, England
Here is Edward's birth registration, and also those of his sisters and brother. These are from FreeBMD.
Births Sep 1875
Eden Edward Chetloe Hackney 1b 488
Births Dec 1873
EDEN Marion Emma Hackney 1b 497
Births Jun 1877
EDEN Florence Amy Hackney 1b 488
Births Dec 1878
Eden Mary Hackney 1b 552
Births Sep 1880
EDEN Albert Auckland Hackney 1b 550
This is the marriage of Edward's parents. You will note that Kate's maiden name was recorded as CHETTOE.
Surname First name(s) District Vol Page
-------------------------------------------------
Marriages Mar 1873
CHETTOE Kate Marianne Shoreditch 1c 210
EDEN Edward William Shoreditch 1c 210
And their birth records.
Births Sep 1841
Eden Edward William Camberwell 4 59
Births Sep 1852
Chettoe Kate Marianne St. Pancras 1b 59