If you haven't found Ann in the 1911 Census yet, here she is,

GR 1911 Census, 18 Duke Street, Haworth Brow, Haworth

James THOMAS, Head, 61, Mar, Wool comber, b. Cinderford, Gloucester
Annjane, Wife, 61, Mar, Cinderford, Gloucester
Florance Ellen, Daur, 20, Single, Worsted Drawer, Cinderford, Gloucester
Frederick John, Son, 17, Single, Iron Moulder, Keighley, Yorkshire
Wilfred Ernest, Son, 16, Single, Worsted Spinner, Haworth, Yorkshire

39 years married, 11 children, 11 alive, 5 rooms.

It looks like whoever recorded the name wrote it as Annjane rather than Anne Jane which might explain the difficulty. She can be tracked via Wilfred Ernest.