I took a quick look, and found reference to two Irish regiments.
Formed June 1701, sent to West Indies Sept 1702 - Earl of Donegal's Regiment of Foot participated in expeditions against Guadalupe in spring 1703.
Formed June 1701, sent to West Indies Sept 1702 - Viscount Charlemont's Regiment of Foot participated in expeditions against Guadalupe in spring 1703.
There might be more, but that was an easy find on a quick flip through the book. If you want more info, buy the books, they are awesome resources.