This may be your family on the 1861 Radnor Census.
Presteigne
In The Parish of Presteigne folio 97/p2
ADWEY Thomas, h, m, 39, Surgeon &c, GLA Merthyr Tydfil, Broad St,
ADWEY Maria, w, m, 29, , MON Trevarteg, Broad St,
ADWEY Mary, d, u, 4, , RAD Presteigne, Broad St,
ADWEY Jane, s, u, 2, , RAD Presteigne, Broad St,
ADWEY Gertrude, d, u, 1, , RAD Presteigne, Broad St,
ADWEY Charlotte, d, u, 3m, , RAD Presteigne, Broad St,
This information is from the Powys Family History Society transcription of
the 1861 Radnor census.
It looks like the handwriting may have been difficult to read, what with the
variation in surname and a Jane (possibly Tom?) Adwey being entered as a son.
Regards
kmo