Hi john i did a bit of research not sure if its any help.
John William Lee birth registered in Dec 1907 in west ham district, Vol 4a, pg 87
His brother james had no middle name and was born in the west ham district and registered Dec 1913. brother harry is a tricky, non were born in 1909 however, two were born and registered in Dec 1908, one being Harry and the other being Harry Reginald.
edward will be born between 1906 and 1911. this is because in the website
http://www.freebmd.org.uk you can see the mothers maiden name on all births after 1911 and only james was found matching lee and evans in west ham after that.
Using the same website I found John Lee and Elizabeth
Evans marriage registration DEC 1906 WEST
HAM vol 4a pg 318.
You'll probably have to buy their marriage certificate, you'll get the fathers names on their as well as any other witnesses.
you can order online at
http://www.gro.gov.uk/gro/content/certificates/ it costs £7 if you know the vol and pg number its on which is what ive given you, if you dont have them it'll cost about £10 i think.
hope its some help!
Emma.