Raggytash, I've had my Atlas out and have made a list of the orchids likely to be found in Connemara. Here goes:

Rare in the area:
marsh helleborine
lesser twayblade
narrow-leaved marsh
fragrant
northern marsh
bee

In a good few sites:
common twayblade
autumn ladies' tresses
Irish ladies' tresses (but not near the coast)
greater butterfly
lesser butterfly
early purple (blotchy leaves, flowers in April)
common spotted
heath spotted
early marsh
pyramidal
frog
western marsh
green-winged

English names can be a bit of a nightmare but those ones are out of the Botanical Society's Atlas. Bet you can't find 'em all!