The Poll for "Two Knights of the Shire" for the County of Cambridge, which commenced at Cambridge on Tuesday 10th and closed on Saturday 14th of August 1830 showed:
William Barker was a Freeholder of a C & L (Cottage and Land) in Castle Camps and thus eligible to vote. The occupier of that Freehold was a certain John Webb (his son by his second wife). The place of residence of the Freeholder was given as Littleburry.

https://www.familysearch.org/ark:/61903/1:1:MQRD-6JZ
Household    Role    Sex    Age    Birthplace
William Barker        Male    82    
Elizabeth Barker        Female    52    Cambridgeshire
John Barker        Male    15    Cambridgeshire
plus 2 lodgers

https://familysearch.org/ark:/61903/1:1:SGCR-Z62 states:
Household    Role    Sex    Age    Birthplace
John Barker    Head    Male    24    Castle Camps, Cambridgeshire
Jane Barker    Wife    Female    21    Castle Camps, Cambridgeshire
Matilda Barker    Daughter    Female    1    Castle Camps, Cambridgeshire
Elizabeth Barker    Mother    Female    62    Balsham, Cambridgeshire
John Suttil    Lodger    Male    26    Shudy Camps, Cambridgeshire

https://www.familysearch.org/ark:/61903/1:1:M7BC-Z58
Household    Role    Sex    Age    Birthplace
John Barker    Head    Male    34    Castle Camps, Cambridgeshire
Jane Barker    Wife    Female    31    Castle Camps, Cambridgeshire
Matilda                    Daughter    Female    11    Castle Camps, Cambridgeshire
Jane Barker    Daughter    Female    8    Castle Camps, Cambridgeshire
Joseph                      Son    Male    6    Castle Camps, Cambridgeshire
Benjamin Barker    Son    Male    3    Castle Camps, Cambridgeshire
Stephen Barker    Son    Male    0    Castle Camps, Cambridgeshire

https://www.familysearch.org/ark:/61903/1:1:VFF6-SD1
Household    Role    Sex    Age    Birthplace
John Barker    Head    Male    44    Castle Camps, Cambridgeshire
Jane Barker    Wife    Female    41    Castle Camps, Cambridgeshire
Matilda Barker    Daughter    Female    21    Castle Camps, Cambridgeshire
Jane Barker    Daughter    Female    18    Castle Camps, Cambridgeshire
Daniel Barker    Son    Male    16    Castle Camps, Cambridgeshire
Benjamin Barker    Son    Male    14    Castle Camps, Cambridgeshire
Stephen Barker    Son    Male    11    Castle Camps, Cambridgeshire
Charles Barker    Son    Male    7    Castle Camps, Cambridgeshire
Ann Barker    Daughter    Female    5    Castle Camps, Cambridgeshire
Julia Barker    Daughter    Female    0    Castle Camps, Cambridgeshire

https://www.familysearch.org/ark:/61903/1:1:Q27C-25DZ
Household    Role    Sex    Age    Birthplace
John Barker    Head    Male    54    Castle Camps, Cambridgeshire, England
Jane Barker    Wife    Female    51    Castle Camps, Cambridgeshire, England
Charles Barker    Son    Male    17    Castle Camps, Cambridgeshire, England
Ann Barker    Daughter    Female    15    Castle Camps, Cambridgeshire, England
Julia Barker    Daughter    Female    10    Castle Camps, Cambridgeshire, England