Alas, there is no Derbyshire equivalent to LancashireBMD, but 1832 is too early for a birth registration anyway as civil registration of births did not begin until 1 July 1837. The birth certificate for the youngest daughter, Mary, will give you her mother's maiden name. There is, however, always the possibility that Mary had a different mother (albeit with the same/similar forename). I note there is a bit of a gap between Ann and Mary (though this could be explained by a death or two). If you do decide to go for the birth certificate, make sure you buy it direct from the GRO (www.gro.gov.uk).