Dear Francesca:
The townland of Lislorkan South (and North) are both located in the civil parish of Kilmacrehy. I see that a Daniel Considine was an occupier in Lislorkan South. The surnames of Dunleavy and Leahy (which are great clues to have as neighbour's names!)
The Clare Library has a number of good sources of reference and you might be interested in viewing the links associated with the civil parish of Kilmacrehy here:
http://www.clarelibrary.ie/eolas/coclare/places/kilmacreehy.htm
There was a Thomas Dunleavy listed as an occupier in Caherbarnagh townland in Kilmacreehy parish in 1855.
There was a John Leahy listed as an occupierin Ballyvrislaun townland in Kilmacreehy parish in 1855. Women's names were not noted on Griffith's Valuation unless they were property owners (most likely gentry) or were widowed.
You will see in the link above that you can search through the parish registers and it may be worth looking not only for Kinnane and Considine names, but also Thomas Dunleavy and Peg Leahy as possible baptism sponsors, or witnesses to marriages.
If you have any further questions, please let me know.
All the best,
Jane