Seeing as how the abode at the birth of Mary Ann was Clayton, I checked the 1841 census for any Maud/e family in Clayton.
Reference is HO107, Piece 1295, Book/Folio 2/10, Page 14
Paliah, Bradford, Clayton
Maude, Joshua M 55 Weaver Worsted
Maude, Mary F 60
Maude, Satah F 20
Maude, Jonathan M 20
Maude, William M 15
Maude, James M 10 All born in Yorkshire
I would assume that these are family?
Furthermore, I can only find 1 female Frances Maude in the whole of Yorkshire, and she is married to Francis Maude!
There is a 40 year old Frances Maud, but she is married to Joseph Maud.
Also a 50 year old in Hunslet, married to Robert Maud.
The remaining 2 Frances Mauds are aged 6 and 15.
Conclusion?
Frances Maude has either married between 1829 and 1841, or she has died