Highfield has been included in the National Census of England and Wales, as part of Hampshire, South Stoneham Parish, since 1841. The following list gives the details of precisely where in those census you can find Highfield (although the boundaries of what was described as Highfield varies wildly!). Only the 1841 census has been transcribed here (see link).
1841 - Enumeration District 1 (Portswood), pages 17-26 (or 15-26 to also
include Back Lane (now University Road/Church Lane, Highfield).
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1851 - Enumeration District '2a & 6' (Portswood, Bevois, Christ Church),
1861 - Enumeration District 9f, pages 1-25 (this census classed the
boundary of Christ Church parish to be the boundary of Highfield)
1871 - Enumeration District 8 (Christ Church & St. Denys), pages 9-28.
1881 - Enumeration District 9 (Christ Church), pages 1-22 (included with these
pages are properties on The Avenue not described as Highfield, but are
on previous census).
1891 - Enumeration District 16 (Christ Church & Portswood, St. Mary's), pages
1-28 (In this census the line between Portswood and Highfield is not
1901 - Enumeration District 19 (Christ Church), pages 1-35.