I see James Smith 1870 commercial directory, Abbey St. Enniskillen under listing of Boot and Shoe Maker.
Griffith Valuation took place in Fermanagh in 1862: There are 4 James Smith in the Parish of
(now a census substitute)
James Smith, Parish of Enniskillen, town of Enniskillen, tenant of John Collum
#6 - Abbey-Street, house and yard
James Smith, Parish of Enniskillen, Town of Enniskillen tenant of Robert Clegg
#22 Strand-Street James Smith & others house and yard (not really sure what this means, is there two James Smith's or one with shares in a house?
The other two James Smith's have both houses, outbuildings and land and don't think are connected to the above
Tithe Applotments 1823-1837 now a census substitute www.genealogy.nationalarchives.ie
1834 Pat Smith, Parish Inishmacsaint, townland Rathmore
1834 John Smith, samewww.familysearch.org
shows a death registered in 1869 for a James Smith age 84, Enniskillen estimate birth year as 1785,
based on age given at death (would your James Smith have been this old?)
(Would he be in the 1870 directory if he died in 1869??)
Two Probates for the surname only of Smith,1858, 1861? could be anyone.
I also didn't find her civil death registry either on the LDS website from 1864www.rootsireland.ie
has church baptism and marriage records and some death records, only 3 parishes.www.emeraldancestors.com
has records also for Northern Ireland
If after 1864 you can get a copy of a civil bmd from www.groireland.ie www.from-ireland.net
St. Michaels appears to be the Catholic church and St. Macartin's a CofI Cathedralwww.sainttmichaels-parish.comwww.enniskillencathedral.com
Church of Ireland parish registers to about 1899 live at the Representative Library just 20 minutes
from the National Library, also for Northern Ireland. You can email and ask:www.library.ireland.anglican.org
RC records are kept at the PRONI in Belfast and there is a new on line resources on GRONI-LIVE
which might be of help? I haven't used it myself.
There might also be community graveyards as many of the church graveyards are full and have been closed, you can contact the County Council website. Libraries are also often good sources of information.
There are also websites for Northern Ireland and getting help in research.www.ni-libraries.netwww.igp-web.com
+ county different resources for different counties, do have a grave archive
The British telephone is used for Fermanagh and there are 16 Smith's listed.