Baptism year for the following Elizabeth does not match with the likely birth year of the Elizabeth in the 1851 census at Burlem, but it may be worth a look, even if only to rule it out, as there were potteries situated near Dalkeith in the 1800s:
STUBS
ELIZABETH
STUBS
30/MARCH/1842
DALKEITH WEST UNITED PRESBYTERIAN
As an added note, I have come across many census returns over the years, in which an adult gives a place they likely knew/remembered they lived at as a young child, as their believed place of birth, rather than where records proved, as far as is possible, they were actually born.