Hi. Started writing but Redwolf has answered you in the meantime.
You can also just use the noun itself, i.e.,
caora for "one sheep" - or you can add
amháin, or
aon ... amháin as Redwolf has done.
I was going to suggest you post your proposed list, either attempting it yourself for confirmation or correction, or in English and we can translate it for you.
An Australian lady with an Irish husband once gave us a bag of toys, and in it was a little kids book in Irish called
Comhaireamh - An Fheirm by Ant Parker. Looks like it is still available
here so I won't write out the whole text, but some useful numbers in it are:
uan amháin "one lamb"
dhá úll "two apples"
dhá choileán "two puppies"
trí mhuicín "three piglets"
ceithre lachín† "four ducklings"
cúig luchín† "five little mice"
It only went up to five.
†These would be
cheithre lachín and
chúig luchín in Connemara Irish.
And now franc has answered, too.
A haon,
a dó,
a trí,
srl., are for straight counting. What Redwolf has given you is correct for numbers that are modifying nouns directly.