Hi Annie65115,
I can't find her death either - so I'm wondering if she might have gone back to her place of birth, to her parents and wider family.
Do the names of the witnesses on the parish register give any clues as to her father's name, or another relatives name? That might help you trace her baptism, and place of origin - and possibly where she went, and where she died.
Another possible thought is to ask Notts Archives if they have the name Kilner or Woodhouse in their Settlement Examinations or Settlement Certificate indexes, as if there are then that will hopefully tell you where they came from. (1832 still in Old Poor Law era).
Contact details here:
http://www.rootschat.com/links/07zi/ Hope this helps a little - good luck.
Paulene

P.S. I can't see Joseph's burial in Notts. Have you managed to find where he died? Or, find him in 1841, for that matter - I can see why you are so frustrated (know the feeling!)
I see, looking at the births of some of the children to Joseph and Mary, that the family fell on hard times, whilst in Notts. (Joseph listed as Pauper). Therefore, it might be worth looking through the Nottingham Poor Law records held a the Nottingham Archives to see if they are mentioned.
http://www.rootschat.com/links/07zj/ They do a research service if traveling is difficult for any reason.
I found an interesting article about Irish settlement in Nottingham, which you might find interesting:
just type in
Irish Settlement in Nottingham in the Early Nineteenth Century into your search engine. The article was written by Patrick Murphy.
Also wondering, were Hannah and Joseph married by licence?