Hi Katie,
Welcome to rootschat

I'm sorry to say

your first step should be to get hold of the marriage cert between Thomas and Katherine to make sure who their fathers were, especially as Turner and Marshall are not exactly exotic names.
However, I can see a possible Kate in 1901:
RG13/4474 21 34
Hessle, YorkshireClarkes Gardens (Cow Lane)Jesse J Marshall, head, 40, Roadman, b. Hessle
Fannie, wife, 38, b. Barnetby?
Ethel N, dau, 14, Milk carrying, b. Hull
Kate, dau, 12, b. Hessle Libby, dau, 8, b. do.
Maggie, dau, 7, b. do.
May, dau, 4, b. do.
Fannie, dau, 4 ms, b. do.
Do these names ring any bells by any chance?
Tanja