Perthshre Regiment (Cavalry) : https://en.wikipedia.org/wiki/List_of_British_fencible_regiments
Colonel Charles Moray.[36] [36]: British War Office 1797, p. 23.
Raised: 29 May 1795
Disbanded: Early 1800

Works of possible interest:

A list of the counties of Ireland, and the respective Yeomanry corps in each county, according to their precedence, established by lot on the 1st June, 1798. 70 p. Reproduction: Gale, Early works to 1800, [Reproduction of original from National Library of Ireland.]

Standing orders for the Yeomany Corps of Ireland. Dublin. 1798. 17,[1]p.,folding .tables.Reproduction: Gale, Early works to 1800, [Reproduction of original from National Library of Ireland.]

Many libraries subscribe to the Gale service for e-books.

More names found on internet as being in Ireland in 1798:

Fraser’s Fencibles (a group of Scots)

3rd Battalion Light Infantry, the Omagh, and part of the Kerry Regiment

General Rooke’s Bristol and Severn Military District is the largest formation that we have been able to identify as immediately reacting to the Fishguard landings.

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1st Fencible Dragoons

Lord Roden's Roxborough Fencible Cavalry

Robert Jocelyn 2nd Earl of Roden, 3rd Baron Newport, 6th Baronet of Hyde Hall (1756–1820):
https://www.sbwhistory.com/wp-content/uploads/2019/01/2nd-earl.pdf

Lord Roden, raised the 1st Fencible Light Dragoons in the town of Dundalk, which was later to become known as Lord Roden’s Fox-hunters. This regiment was placed on the Irish Establishment on 21st July.1794, and disbanded 7th October, 1800. :
http://irishfreemasonry.com/blog/?p=2254

The 1st Fencible Dragoons were formed in 1794 and disbanded in 1800. ... Alternatives names were 1st Fencible Cavalry/Dragoons/Light Dragoons.

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Essex Fencibles

24th Dragoons

Kerry Militia, The Galway yeomanry, Prince Of Wales Fencibles

Ron McGuigan. The Forgotten Army: Fencible Regiments of Great Britain 1793 - 1816. 2003. :
http://www.napoleon-series.org/military/organization/fencibles/c_fencibles1.html
Make sure to clique of the “More on the Forgotten Army” at the bottom.

“His corps was composed of the Kerry militia, recruited in Galway, some Kilkenny yeomanry from Loughrea, a body of Longford militia from Gort, a detachment of so-called Royal Roxburgh Fencible Dragoons under the command of Lord Roden, several companies of a Highland regiment known as the Fraser Fencibles, and four six-pounders and a howitzer served by men of the Royal Irish Artillery.” :
https://www.libraryireland.com/frenchinvasion1798/battle-ballina.php