The Toomath or Tumath were in the Poor Law Union of Irvinestown in 1862 for the Griffith Valuation of land.
Toomath, Parish of Agalurcher, PLU Lisnaskea
Tumath, Parish of Derryvullan 4, PLU Irvinestown
Tumath, Parish of Drumkeeran 1, PLU same
Tumath, Parish Magheraculmoney 4, PLU same
Only parish records would give you a birth that early or a marriage in 1835. www.rootsireland.ie
(no record of Alice-could be spelling but there are 7 marriages for the surname)www.emeraldancestors.com
There was Toomath's in Irvinestown from 1870-1894 in the Commercial Directories, all listed as Christopher.
The Tithe Applotments are dated 1823-1837 www.genealogy.nationalarchives.iewww.familysearch.org
now has the Tithe's but none for
Fermanagh mentioned. I don't think it is spellings as this LDS site will give you varients of spellings.
checked the british telephone book for Northern Ireland neither spelling has any listings.
there were still 9 Tumath's in Fermanagh in 1911.www.census.nationalarchives.ie