What about this entry from the IGI on FamilySearch:
WILLIAM TILEY
Male
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Event(s):
Birth:
Christening: 23 NOV 1836 Saint Mathew, Brixton, London, England
Death:
Burial:
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Parents:
Father: THOMAS TILEY Family
Mother: ELIZA
Stockwell is pretty close to Brixton, so it's a possibility. No sign of any other siblings or parent's marriage though....