Hi Masha ...
From the OFHS's Oxfordshire Marriage Index (1538-1837):
20 NOV 1823 - Edward HUCKING to Hester HERBERT at EnstoneAnd from the IGI, two children baptised at Enstone:
14 OCT 1827 - Eliza HUCKINGS
15 MAY 1831 - Thomas HUCKINGAlso on the IGI, could this be father Edward:
Parish of Chadlington - 27 APR 1788 - Edward HUCKIN, s. William and MaryAs you will see from the map at
http://searches.oxfordshirefhs.org.uk/pardata.html, Enstone and Chadlington are almost adjacent.
It may be worth checking the Chadlington PRs to see if this Edward continues to live in the parish (marrying, producing offspring, etc.). FreeBMD has a death for an Edward HUCKIN (aged 83) in 1871. The death is registered in Chipping Norton (which incs. Enstone and Chadlington), so this is almost certainly the Edward baptised in 1788 above.
On Tati's 1841 census entry, it would seem that Thomas is with his maternal grandparents. I can find no sign of parents Edward and Hester, or sister Eliza, on this or subsequent censuses, so it may be that the rest of the family died. Have you checked the Enstone PRs for any burials? If nothing turns up there, then you can have a search done by the OFHS of the Oxfordshire NBI.
I also checked the OMI/FreeBMD to see if Hester had remarried, but couldn't find anything to confirm this.
Not sure if this is any help ... or not!
Pennie
NB All surnames spelt as recorded.