OxFHS CD WAN-01 includes West Hanney PRs, but only up to 1812

Meanwhile, on a more positive note, this is from the BFHS Marriage Index:
West Hanney 6 August 1832
William DUNSDON married Eliza HIGGS.
(Absence of address implies both from WH. No details of fathers or occupations were recorded at that time.)
Sorry, I've never visited Wilts RO (or Berks) so can't help you there. Come to think of it, my only visit to St Luke's (ORO) was when I was baptised and I have no memory of the event

Carol