The full 1841 Census of Alconbury Weston Parish is available as Fiche Set C81.
The full 1851 Census of Alconbury Weston Parish is available as Fiche Set C31.
A Surname Index of the 1881 Census of the Huntingdon Registration District, in which Alconbury Weston was enumerated (RG11/1602, Folios 17a - 25b), and which took place on 3rd April 1881, is available as fiche set C3.
A full transcription of the 1891 Census of the Spaldwick sub-District of the Huntingdon Registration District (RG12/1236) in which Alconbury Weston was enumerated, and which took place on 5th April 1891, has also been produced by the Huntingdonshire FHS (as Fiche C8).
The Huntingdonshire Marriage Indexes include marriages from Alconbury. These are, at present, issued in alphabetical listings in series: 1601-1700, and 1701-1754, and are available from the Huntingdonshire FHS Bookstall.
Alconbury Weston was originally in the Registration District of Huntingdon from 1st July 1837. Subsequently, it came under the Spaldwick sub-District, but once again it is now directly under Huntingdon District.