The Harriet Wild who married William Wade (on 2 August 1908) was the daughter of William Wild, a brush maker - free-to-view image of their marriage record at https://www.ancestry.co.uk/sharing/29456575?h=2850a3.
There is a 1901 census entry for a Harriet Wild born in about 1883 in Walworth, living with her father William Wild a brush maker and other family members - see https://www.familysearch.org/ark:/61903/1:1:X9HQ-8PC.
Also a 1891 Census:
https://www.ancestry.ca/sharing/29458309?h=3a8f35
AND a baptism record for Harriet's father William:
https://www.ancestry.ca/sharing/29458335?h=7dfdfd