Aughnacloy does seem a reasonable base for your visit to this area.
Edenageeragh is in the parish of Aghaloo. The parish appears to have been subdivided at various times, so the church records are complex. As far as early records are concerned, PRONI in Belfast has the following Church of Ireland records:
CI Aghaloo or Caledon
Baptisms, 1791-5 and 1801-76; marriages, 1792-5 and 1800-45; burials, 1792-5 and 1800-1939; confirmation lists, 1840-72; vestry minutes, 1691-1807.
C.I. Brantry (Armagh diocese)
[Formed out of Aghaloo, Carnteel and Clonfeacle parishes]
Baptisms, 1791-5 and 1801-76; marriages, 1792-5 and 1800-45; burials, 1792-5 and 1800-1939; confirmation lists, 1840-72; vestry minutes, 1691-1807.
Looking at the revaluation records for Edenageeragh, I see that W H Colbert had plots 10 & 11 in the townland (the farm comprised a total of 25 acres, 3 roods and 30 perches, so just under 26 acres).. He acquired the farm in 1912 from Joseph Mayne and in 1914 it changed to James McGowan. (Griffiths dates can be out by a year or two). The farm was up a lane near the modern Glencrew Rd. (You will have to look at Griffiths maps to see exactly where). There’s a B & B not too far away called Valleyview at 35A Rehaghy Rd, Aughnacloy, BT69 6EU. It’s in Edenageeragh townland.
http://www.askaboutireland.ie/griffith-valuation/index.xml
http://www.proni.gov.uk/index/search_the_archives/val12b.htm
I see that by the time of his death William Colbert had moved to Killeeshil. (Spelling varies). See this probate extract:
Probate of the Will of William Colbert late of Killeshill County Tyrone Farmer who died 10 May 1916 granted at Armagh to John Colbert Farmer and Reverend Thomas Adderley Clerk.
The will itself is on-line and mentions daughters Jane, Minnie & Margaret, wife Mary, as well as sons John & Edward. (As you know Edward inherited the farm. That's in the will).
http://www.proni.gov.uk/index/search_the_archives/will_calendars.htm
The local church for Edenageeragh seems likely to be Carnteel, but you may need to enquire locally to confirm that’s the one the family might have attended in 1912 - 1914. See:
http://www.ireland.anglican.org/information/dioceses/parish/10130
However Killeeshil is in a different parish (Killeshil). With a different churchyard.
Regarding burial places, there’s no requirement to record where someone is buried in Ireland. For members of the Church of Ireland it can be the churchyard for the church you attended, but families did move around like yours and often had family plots some distance away which they continued to use. And by the 1900s there were also municipal graveyards. Again I think you may need to enquire locally. Aughnacloy Historical Society may be able to help with a list of all graveyards in the area, and details of any headstone transcription work that may have been done:
http://www.aughnacloy.org/historical-society/
The farm in Killeeshil is shown in Edward’s name in the revaluation records. It was plot 28 and comprised 8 acres, 1 rood and 10 perches. It remained in his name until at least 1929 (when those records finish). Plot 28 is on the modern Killeeshil Rd, just to the west of Killeeshil Rectory (off the A4 near Ballygawley).
Be aware that until the 1960s there were no street names or house numbers in rural areas in Ireland. Your townland alone was sufficient to identify you, or get a letter delivered. The postman and anyone else who mattered knew where, within each townland, every person lived. Any modern postal address associated with these farms would not have been in use in the 1920s or earlier.
