Sorry just realised that when I was looking at census 1901 as there is another Durkin family in Burnley,
have you looked at Lawrence who is born in Liverpool,Irish parents,
I am posting the 1901 census for reference,
Thorn Street ,Padiham,Clay Bank,
RG13/3877
Lawrence Derkin,age 39 born Ireland,Iron foundry worker
Elizabeth Derkin aged 39 born West Indies,pedlar ,own account,
Henry,age 17, Blackburn,Cuppa Hands ,calico printer
Bridget,age 15,born Burnley
Paddy,age 12,born Burnley