September 29th.  Elizabeth, Daughter of Thomas Bruerton of Harthill labourer and Anne Owens of Bickerton servant born in Harthill September 11th 1805.

A little further down the page is the marriage Banns of Thomas Brereton and Ann Vicars (and her mark X).

On another record we have :
1805 September 29. Elizabeth bare daughter of Thomas Brereton of Harthill labourer and Ann Owens of Bickerton servant born at Harthill September 11th 1805.  Presumably "bare" means iligetimate.

name: Elizabeth Bruerton
event: Christening
event date: 29 Sep 1805
event place: Harthill, Cheshire, England
gender: Female
father: Thomas Bruerton
mother: Anne Owens
digital folder number: 4008701

Name:    Elizabeth Brereton
Gender:    Female
Marital status:    Single
Birth Date:    1804
Death Age:    20
Burial Date:    14 Jan 1824
Burial Place:    St John the Baptist, Chester, Cheshire, England
FHL Film Number:    1655481

Elizabeth Brereton Spinster ... St John Street, (buried) 14 January, aged 20