[Merry]

I don't know if this helps enough, but there are these two baptisms showing on FS pilot site:

Name: Ann Smith
Gender: Female
Baptism/Christening Date: 10 Aug 1818
Baptism/Christening Place: SAINT MARY,HINCKLEY,LEICESTER,ENGLAND
Father's Name: Joseph Smith
Mother's Name: Sarah
Indexing Project (Batch) Number: C03452-3
System Origin: England-ODM
Source Film Number: 590785
Reference Number:
Collection: England Births and Christenings, 1538-1975

and

Name: Ann Smith
Gender: Female
Baptism/Christening Date: 16 Jun 1818
Baptism/Christening Place: SAINT MARY,HINCKLEY,LEICESTER,ENGLAND
Father's Name: Joseph Smith
Mother's Name: Lucy
Indexing Project (Batch) Number: C03452-3
System Origin: England-ODM
Source Film Number: 590785
Reference Number:
Collection: England Births and Christenings, 1538-1975


There are others 1814 (probably died as same parents as 16th Jun 1818) and
1821 which is why I say this may not help enough.....

In 1841 there is:

Joseph Smith 45 stocking maker
Sarah Smith 40
An Smith 23 <<<<<<<<<<<<< bap 10 Aug 1818???
Enoch Smith 19
Thomas Smith 8
Mary Smith 6
Jane Smith 3
Emma Smith 1 MO

suggesting their Ann was not yet married. So, that means it's more likely your Ann is the dau of Joseph and Lucy. Might be worth investigating the occ of Joseph, who was married to Lucy, at the baptism of his dau.