You may already have this but I thought it might be of some use.
There is a burial record for an Alexander Davison at Staple,
1810 Oct 12 Alexander Davison
There is also a Will on the National Archives for Alexander Davison
http://discovery.nationalarchives.gov.uk/details/r/D206808Hannah may have been buried in 1801 or 1808, there is no way of telling which from the Staple Register.
It seem likely that Alexander was baptised at Staple,
1729 June 29 Alexander s/o William & Anne Davison
Other baptisms at Staple are,
1721 Aug 6 John s/o William & Anne Davison
1723 Aug 25 Mary d/o William & Anne Davison
1726 May 28 Grace d/o William & Anne Davison (appears to be Deverson)
1732/3 Jan 7 Anne d/o William & Anne Davison
1737 May 28 Thomas s/o William & Anne Davison
The marriage of William Davison (Deverson) (of Goodnestone next Wingham) to Anne Wood (of the same parish) took place by Licence dated 18 July 1716. The parishes specified were Goodnestone, Thanington or Chartham. There is no record at either of the first two and all there is at Chartham is on the same date a marriage between John and Ann! Simply that, nothing else!
This couple had one child baptised at Goodnestone before seemingly moving to Staple,
1718 Nov 9 William s/o William & Anne Deverson
Lastly a cheeky question, where did you manage to get hold of a transcript of the Vincent Lade Will?
I live not far from Canterbury, where there will be a copy of the Original Will, plus a probate copy in the Cathedral Archives, but I don't know of anywhere there may be a transcribed copy!
Tony