Following this one with interest… quite a mystery!
Here’s another possibility to throw into the mix. In 1841 there is a Hannah Hollis (Mollis on Anc*) aged 15, a servant at Elvaston, Shardlow, and in the same household is Elizabeth Pegg 50, shown as visitor but then crossed out.
With the 1841 roundings Hannah’s age could be anything up to 19, so a possible baptism for her is at Radbourne, St Andrew on 26 Jan 1823, Hannah, spurious daughter of Margaret Hollis.
I notice that Sarah Pegg [nee Bottom] was also born in Radbourne, and there is a marriage in Radbourne in 1821 of a Hester Bottom to Joseph Appleby, with one of the witnesses being Margaret Hollis.
Hester Bottom b1804 & Sarah Bottom b1807 were sisters, their parents being Henry & Ann
Unfortunately I completely lose track of Margaret Hollis after Hannah’s birth, but she does seem to provide a link between the Hollis, Bottom & Pegg families.
ADDED: Possible baptism for her at Dudleston, Shropshire:
5 Dec 1802 Margaret d/o Thomas & Hannah Hollis
Well that's introduced another dimension. However, forgive my ignorance, but in your third paragraph you say:
"With the 1841 roundings Hannah’s age could be anything up to 19, so a possible baptism for her is at Radbourne, St Andrew on 26 Jan 1823, Hannah, spurious daughter of Margaret Hollis".
What do you mean by 1841 roundings and how can these mean she could be up to 19yo? Also by "spurious daughter" do you mean that Margaret could have falsely presented Hannah as her own daughter?