Hi Jeannie,
[c.f. Stafford Gorman WHITTLE of Glenavy, one of the folks who I help to research.]
Not very familiar with CHURCH.
STAFFORD and MACARTNEY are powerful names associated with Ulster history.
[More presently ... ]
Stafford CHURCH is probably NOT an ancestor.
The name is most likely to have been adopted from a friend, church colleague, local political leader/magistrate, etc.
[e.g. James WHITTLE (apparently) named his last 3 sons - Fortescue WHITTLE, Dougherty WHITTLE, Stafford WHITTLE - after the 3 sons, Fortescue GORMAN, Dougherty GORMAN & Stafford GORMAN - of his co-warden William GORMAN at St. Aidan's CoI in Glenavy.
However, remoter possibilities exist ...]
Capt. Jock
Addendum:
Predict that there will be connections with ...
Woolen Trading
Law Enforcement (Sheriffing)
Orangeism (Brunswick Club)
(Non?!) Core Protestantism (Low Church Anglicanism or Presbyterianism)
PPS: All the evidence is collected - just need inspiration to avoid it joining the 650 other offerings littering the floor.