I looked at the 1901 census for Edith and according to it, her four youngest children, aged 5, 4, 3 and 2, were born in Barrowford, Nelson, Blackpool and Cornholme respectively.
Did Edith and Robert Veevers move around so much?
Yes I noticed that too. I suppose they must have done. Looking at the map Barrowford, Cornholme and Nelson seem to be not far away but Blackpool

- perhaps they were on holiday

. There certainly seems enough evidence to me that the Edith Osborne, Edith Veevers and Edith Pollard are the same lady especially as some of the children are with her in 1911.
Have you ever come across Thos Veevers born ca 1869 in Burnley? I noticed him in 1891:-
Thos Veevers 22 mar labourer born Burnley, Lancs
Margt A Veevers 20 mar wife born cotton weaver born Blackburn, Lancs
Mary A Veevers 1 dau born Burnley, Lancs
living at 225 Clifton Street, Habergham Eaves
RG12/3369/23 p41
The thing is he only seems to appear in 1891 and I can't see a marriage for him either so far

. Do you think its strange that he only seems to be there in 1891? Probably totally on the wrong track but its bothering me. Thought I would mention it as you have done a lot more on the Veevers family than I have.
Luzzu