British regular units in Ireland 1798 being reported in various works of the 1798 Rebellion:
Farmer. The regimental records of the British Army: a historical resume chronologically
arranged of titles, campaigns, honours, uniforms, facings, badges, nicknames, etc. 1901. :
https://catalog.hathitrust.org/Record/001588966
Please note: I have checked all units in the above excellent work, these are the only others that stated in Ireland in 1798.
Cannon, Richard, 1779-1865.
64th Regiment of Foot:
“The regiment returned to England in 1795, before moving to Gibraltar and then Ireland, where it
played a minor part in suppressing the 1798 rebellion. The 64th returned to England in 1800.” :
Cook, Hugh (1970). The North Staffordshire Regiment (The Prince of Wales's). Famous
Regiments. 1970, p. 26.
Territorial Regiments:
The 6th (1st Warwickshire) Regiment of Foot: 1796-1798 - Ireland:
Historical Records of the 6th, or 1st Royal Warwickshire Regiment of Foot. 1674-1838. 1839.
pp. 74-75. : https://archive.org/details/cihm_48343/page/n113