I was wondering if her father was working at Doveridge Hall in 1829, as the then hall was owned by a Lord Waterpark, Wikpedia has the following:
The Cavendish Baronetcy, of Doveridge Hall, was created in the Baronetage of Great Britain in 1755 for Henry Cavendish. He notably represented Lismore in the Irish House of Commons. He was succeeded by his son, the aforementioned Sir Henry Cavendish, 2nd Baronet.
The Cavendishes of Doveridge were descended from Henry Cavendish, illegitimate son of another Henry Cavendish, of Tutbury Priory. This Henry was the eldest son of Sir William Cavendish by his wife Bess of Hardwick, and thus elder brother of William Cavendish, 1st Earl of Devonshire. The family seat of Doveridge Hall was demolished about 1938.
There is an entry in the Derby Mercury, 1824, from Gale Databases stating the following:
The Derby Mercury: Wednesday, December 15, 1824:
DEATHS: On the 18th inst, at Doveridge Hall, in this county, Alfred, the seventh son of Samuel Walker Esq, aged 8 years.