Kerry militia: 14th Kerry Regiment
Kilkenny yeomanry: see below.
Longford militia: 15th Longford Battalion
Royal Roxburgh Fencible Dragoons under the command of Lord Roden: already addressed
Fraser Fencibles: already addressed
Royal Irish Artillery:

The Irish Militia: https://www.royal-irish.com/stories/the-irish-militia

Sir McAnally, Henry, The Irish Militia, 1793-1816 (London, 1949):

Standing Orders for the Yeomanry Corps of Ireland, Dublin Castle,15th May 1798:
kildarelocalhistory.ie/1798-rebellion/background-to-rebellion/yeomanry-standing-orders/

Chapter V Kilkenny’s forgotten armies: the yeomanry 1830-1834 and the militia 1800-1870, pp.
202-248 : http://mural.maynoothuniversity.ie/5279/1/Liam_Bolger_20140722145036.pdf