O.K. I have had a look at my notes and have my reasoning behind there being a Hannah and a Harriet.
Their mother's death certificate states 4 females deceased (Sarah Ann, Harriet, Charity & Hannah)
Through this thread we have confirmed Sarah Ann and Charity (still can't get that link to work for Harriet)
Their mother's death certificate states 1 male deceased (Charles)
Through this thread we have confirmed Charles
All other children were alive and accounted for when their mother died. I have a note from a family member that says that the 1833 Hannah
may have died in 1834.
So in summary to my original post this is what I have;
Sarah Ann Christened 19th May 1825 died 19th December 1840 but where is she buried
Charles Christened 13th November 1829 died 6th May but where is he buried
Harriet maybe born 1833 maybe died 22nd July 1840 and where is she buried
Charity Christened 8th November 1837 died 11th May 1840 but where is she buried
Hannah Christened 1st October 1833 maybe died 1834 and where is she buried
Confirmation of Hannah and/or Harriet are obviously key as then there is the question of the 2 year old Hannah on the 1841 census that did not leave for Australia with the rest of the family in 1849 and that would be 5 deceased females
P.S. I am still trying to get onto lincsonline, haven't given up yet.