Hi, I found 2 likely families in Lampeter in 1841.................
HO107/1375/5, Enum Dist 6, Town of Lampeter, p14
Address - Boyne Cottages, all surnames Davies
Elias, 45, Ag Lab, n
Hannah, 40, y
James, 11, y
Anne, 9, y
Elizabeth, 7, y
Rees, 4, y
Same reference as above but p21. Address - High St, all sunames Davies except where shown otherwise, all born in county.
Rees, 40, Inn Keeper
Elizabeth, 45
Samuel, 11
Elizabeth, 9
Margaret, 2
Elizabeth Walters, 25, FS
There was another but unlikely match of an Elizabeth Davies age 11.
Hope it helps, cheers Dave