Ancestry.com recently posted the list of the lessees and their townlands for the Tithe Applotment Lists. This takes you back to about 1824-1833. Apparently, not all people are listed but I was up a creek as far as some relatives in Leitrim and I had a general idea of the location and this really helped pin it down - as much as you can without further information. This is a transcription only which has its limits. I believe you can then find a place with the microfilm and find out more information. You can also compare it to the Griffiths to get a more complete picture. Griffiths are there too as well as Ordinance Survey maps. This does not tell the landlord but you could take a look at the townland in Griffiths and get some idea. I think I found my great great great grandfather in Leitrim from this - but I need to go look at the films now to see if the last name was transcribed correctly.
Unfortunately, you must purchase their World whatever membership which I did not want to do. I had my husband sign up for a trial and he bought just a month's of the world one and will use it for this short time. If you want me to look up a name if you have at least a first and last name as well as a county, I could give it a try.