Lake J W

Name: LAKE, JOHN WILLIAM
Initials: J W
Nationality: United Kingdom
Rank: Private
Regiment: South Lancashire Regiment
Unit Text: 1st Bn.
Age: 24
Date of Death: 09/01/1915
Service No: 9226
Additional information: Son of Mrs. Annie A. Forsdyke, of 10, Nunhead Grove, Peckham, London. Enlisted in 1909. (Buried Karachi Cem. AD. M. 22.).
Casualty Type: Commonwealth War Dead
Grave/Memorial Reference: Face 23.
Cemetery: DELHI MEMORIAL (INDIA GATE)

Is this his birth entry (Free BMD)?

Births Dec 1892
Lake John William Camberwell 1d 860

Struggling with Forsdyke too!
On Free BMD I found these marriages

Marriages Sep 1895
Forsdyke John William Camberwell 1d 1508
Lake Alice Jane Camberwell 1d 1508
Monk Jonathan Camberwell 1d 1508
Stockwell Annie Camberwell 1d 1508

Thought it could be the remarriage of John's mother. But can't find these people in 1901 either!
I think Alice Jane could very well be Annie A ...... !! how many Lakes would marry a Forsdyke