Hacketthaus,
Here’s a link to Griffiths Valuation. If you search under Cavanacark you should find the entry easily enough. There are maps which you can then use to see where the property is. (Slider bar in top right hand corner of screen switches between 1860s map and a modern one).
https://www.askaboutireland.ie/griffith-valuation/index.xml
The Valuation Revision records on the PRONI website take Griffiths forward. I have attached the page showing Joseph Hackett being deleted c 1863 (blue ink in use that year).
I searched for a probate file for Joseph Hackett but without success.
Regarding burial records, only the Church of Ireland kept any burial records. Most other denominations didn’t bother. What denomination were the Hacketts? (Tradition was to marry in the bride’s church, so we can assume she was Church of Ireland/England but it doesn’t mean the groom was).
If Church of Ireland, you would need to check the Clogher parish burial records in PRONI. But some were probably lost in the 1922 fire, so they may be incomplete.
Re the 1900 death, this may be the Thomas Milligan who was the informant:
http://www.census.nationalarchives.ie/pages/1901/Tyrone/Cecil/Tullanafeile/1725920/
This Davison family farming there in 1901:
http://www.census.nationalarchives.ie/pages/1901/Tyrone/Cecil/Tullanafeile/1725927/
Regarding where William Davison was buried, there’s no requirement to record that information in Ireland. You could check the Clogher burial records in PRONI. Otherwise it’d be a question of searching local graveyards. Farmers were more likely to have a gravestone. Most of the population were labourers and couldn’t normally afford one. But a farmer was usually a bit better off.
Can’t see a probate file for William Davison. (If most assets were movable it often wasn’t necessary to obtain probate).