Hi there,
To help the Irish RChatters to help our OP, here's some info gleaned from the Tasmanian Archives online.
Martin COY departed Cork 13 April 1852 on the Lord Dalhousie, arriving Tasmania (Van Diemens Land) 14 August 1852.
His conduct record and indent and description list are available online at the free to search index
http://portal.archives.tas.gov.au/menu.aspx?search=11 Also transported at that time (on same ship, total 7 convicts) was a Peter COY who was also convicted at County Clare, tried on 16 January 1849, for Stealing 3 Sheep. Peter COY died at Port Arthur (Penal institution), 18 Jan 1863. The records show his native place was Co Clare and he was Roman Catholic, married, and aged 40 when transported.
Martin COY was tried at Clare 27 February 1849, stealing a sheep, the property of McKinown of Co Clare. (hard to read this surname on the image). He was married, a labourer, native place of Co Clare, aged 30.
Cheers, JM