Here are some sites to utilize for your search:
1901 and 1911 Irish Census http://www.census.nationalarchives.ie/search/
There are Wakefields
For landed estates http://landedestates.nuigalway:8080/LandedEstates/jsp/
No Wakefields but Wades
Connaught is a Province, The Parish is Kilcloony or Clontuskert,Possible Church attended Urraghry Church of Ireland-Dissenters were required to have a Dual Membership in Parish one being the Church of Ireland and they paid tithes, the home of Dr. Albert Wakefield was 2 miles east of Aughrim, Galway, Ireland-Wakefield Village
And remember that Dissenters included Methodists, Presbyterians, Quakers, and the Treaty of Limmerick of 1691 lowered the status of all including Catholics to be on the same level and not the "ruling class"
I have been through all the history for Ireland. The Wakefield brothers could of been part of rebelious groups like the Whiteboy, Peep O Boys, or the Orangemen these groups might of been working against the Catholics but the years of the Wakefield Brothers who got implicated in a plot-the Catholic part might of been Homer Wakefield's opinion. The years 1771-1783 there was a volunteer movement and they were encouraged by the American Revolution and the Irish united against the British rule. This is the part of history that may be part of the Wakefield Brothers plot against the British Rule. Eamil your findings and opinions.
Best of Luck, Cindy email@example.com
P.S. the Galway Library site may have an earlier census than the one above and is a good site. Also Ireland roots I believe is good. And I have posts on the family at rootschat galway fourm. No records seem to exist except for ones I have found-Methodists in a book and the one above and the records for census.