The Tithe Applotments an early census substitutewww.genealogy.nationalarchives.ie
45 Thompson's listed, try all possible spellings
The next Griffith Valuation is dated 1858.www.askaboutireland
(Meredith and George seem to be favoured names)some of the land is owned (IN FEE) which is unusual for the times. www.askaboutireland.ie
Sligo does belong to an Irish History Foundation a fee paying but not for profit website. You maybe able to find her just by her name and approximately birth year but most of the Parish records start much later than 1824.
There is just 1 Thompson in the current on line telephone book for sligo.