These yearly issued volumes contain a listing of the Staff and Military Units in Ireland:

Watson, Samuel, fl. 1761-1802 and in the years 1795-1798 and 1800 onwards by John Watson Stewart. The Gentleman's and Citizen's Almamack For The Year .... :

1791: Reprint as part of The Treble Almanck
Reprint.

1792: https://archive.org/details/gentlemanscitize1792wats
Reprint 466 p. as part of The Treble Almanck

1794: 494 p. Reprint as part of The Treble Almanck

1795: 160, [24] p.: Reprint

1796: Reprint 154 p.

1797: Reprint

1798: Reprint 191 p.

1799: Reprint

1800: https://babel.hathitrust.org/cgi/pt?id=uc1.a0001661479
https://books.google.com/books?id=zTM_AQAAMAAJ

1802: https://babel.hathitrust.org/cgi/pt?id=inu.30000125596761

1804: https://books.google.com/books?id=oOAxAQAAMAAJ as part of The Treble Almanck

1809: https://books.google.com/books?id=ezM_AQAAMAAJ

1812: https://books.google.com/books?id=VW5EAQAAMAAJ
https://babel.hathitrust.org/cgi/pt?id=uc1.$b681719 as part of The Treble Almanck

1814: https://books.google.com/books?id=vG5EAQAAMAAJ
https://babel.hathitrust.org/cgi/pt?id=hvd.32044083389627 as part of The Treble Almanck
https://babel.hathitrust.org/cgi/pt?id=uc1.$b681720 as part of The Treble Almanck

1815: https://books.google.com/books?id=nWQRAAAAYAAJ
Military starts here: https://books.google.com/books?id=nWQRAAAAYAAJ&pg=PA139
https://babel.hathitrust.org/cgi/pt?id=hvd.32044083389619
https://babel.hathitrust.org/cgi/pt?id=uc1.$b681721 as part of The Treble Almanck
https://reader.digitale-sammlungen.de/resolve/display/bsb10278398.html as part of The Treble Almanck