Good links from Belen there. I took a look in the 'Tithes & Applotments' archives for Thomas Strong. Basically they are records for people paying tax on agricultural produce. There are nine records by that name but eight of them are in Mayo/Cavan & Donegal which are mainly in the North West of the country. There is one however in Co. Carlow which is neighbouring Co. Laois (Queens County).
The record dates from 1825. Basically this guy was paying tax on crops 25 years before your deportation date. What age was your Thomas Strong in 1850? Nevertheless is could also be a family member (father?). In any case, that record is from the townland of Clogrennan in the parish of Cloydagh.
Looking on Google Maps, there is a townland now called 'Clogrennane'. It's only 50km from Lisduff. So perhaps it would be worth looking at the parish records for Co. Carlow?
I also found reference to a Thomas Strong in the Griffith's Valuation in 'Queens County' published in 1851 with the location in Mountmellick now in Co. Laois
Here are the links.Tomas Strong tithesThomas Strong Griffiths Valuation
I hope that helps,