These appear to be the children of James Anderson and Elizabeth Brown:
Note that the baptism of Sarah it has Elizabeth Thrown as mother - this most probably a transcription error.
England, Select Births and Christenings, 1538-1975
about Sarah Anderson
Name: Sarah Anderson
Gender: Female
Birth Date: 5 Sep 1824
Baptism Date: 12 Sep 1824
Baptism Place: Scotch Presbyterian,Maryport,Cumberland,England
Father: James Anderson
Mother: Elizabeth Thown
FHL Film Number: 0590676 (RG4 210, 687), 590676
Name: Elizabeth Anderson
Gender: Female
Christening Date: 06 May 1827
Christening Place: SCOTCH PRESBYTERIAN,MARYPORT,CUMBERLAND,ENGLAND
Birth Date: 23 Mar 1827
Father's Name: James Anderson
Mother's Name: Elizabeth Brown
Name: John Anderson
Gender: Male
Christening Date: 18 Feb 1821
Christening Place: SCOTCH PRESBYTERIAN,MARYPORT,CUMBERLAND,ENGLAND
Birth Date: 12 Jan 1821
Father's Name: James Anderson
Mother's Name: Elisabeth Brown
Name: Barbara Anderson
Gender: Female
Christening Date: 24 Jun 1818
Christening Place: SCOTCH PRESBYTERIAN,MARYPORT,CUMBERLAND,ENGLAND
Father's Name: James Anderson
Mother's Name: Elisabeth Brown
Name: James Anderson
Gender: Male
Christening Date: 03 Aug 1816
Christening Place: SCOTCH PRESBYTERIAN,MARYPORT,CUMBERLAND,ENGLAND
Father's Name: James Anderson
Mother's Name: Elisabeth Brown
Indexing Project (Batch) Number: C06438-1 , System Origin
The Scottish Presbyterian Church may indicate that James came from over the border, or his family did.