Ok, so either is correct, thanks. Yes, I printed out your explanation, and am still working my way through it, bit by bit. All at once was kind of information overload.

All this to teach the dog to put away her toys!

, It is traditional but it is starting to fall out of use. The same can be said about counting things in twenties. So dhá fhichid (fiche takes on the dative after dhá because dhá brings about the dual rule) instead of dachad/ daichead/ ceathracha. Counting things in twenties is more common for larger numbers though. I see you have cheithre séimhithe, you may also put a séimhiú on cúig> chúig.

Counting is so feckin difficult!

"Traditional but starting to fall out of use." Hmm....you may have just pushed me off the fence!

Try and stay on the fence... we need to keep all of what we can of dialectal Irish alive!

"On the fence" means "undecided" here. Ach ná bac leis, a chara, I fell on the traditional side, of course!

I was told that this is the more traditional way to count in Munster, and this way of counting is also shown in Teach Yourself Irish and a couple of other books I've read.

It is also mentioned here as a less common way of counting:
http://nualeargais.ie/gnag/zahl4.htm#neamh

Well in Cork(because the rules aren't the same even in Kerry) the rules for counting are (here we go):
When counting from 1-10:

1. aon: lenites takes the singular.

2. dhá, or dá before the article: lenites and takes the dual, which is the same as the singular for masculine words
but for feminine words its formed by knocking the final "e" off the genitive:
dhá chapall
dhá bhróig

3.,4.,6. Singular or plural. Lenite if you take the singular.
The following words must take the singular:
acra
céad
clais
lá
mí
míle
oíche
seomra
slí
The following must take the plural and their plural after numbers is not their normal plural:
bliain
uair
pingin
scilling
seachtain
fear
(I think Kerry includes glúin in this list)

Outside this you have a choice, but it is more common to use the singular.

5. cúig is pronounced chúig. (Unless you're just saying the number itself)
chúig lenites weak plurals, eclipses strong plurals and does nothing to the obligatory plural words, e.g.

chúig bhallóga
chúig mbailte
chúig seachtaine

Or you could just use the singular, in which case you just lenite.

7.-10. Same as above, except you always eclipse

11.-19. Just add déag to the above, or dhéag if you use the singular and it ends with a vowel.

21. The singular and "is fiche". Bó is fiche.

22. "dhá" and "is fiche", obeying the rules for dhá above. dhá bhróig is fiche.

23.-30. Follow the rules for 3.-10. and just add fichead at the end. trí charr fichead.
fichead is lenited just as déag is after singulars ending with vowels.

31.-39. The rules for 11.-19. with "ar fhichid" after.

41.-99. The rules for 1.-19. but with is daichead (40), is trí fichid (60) or is cheithre fichid (80) after.

20. and 100. Use the genitive plural traditionally, but nowadays they use the nominative singular.

Adjectives:

1. Singular form and lenited if feminine and not if masculine.

2. Plural form and lenited.

3.-10. Plural form and you lenite if noun is singular or if it is plural with a slender ending.

Genitive:

1. an aon, masculine and na haon, feminine. Noun and adjective in genitive.

2. Same as nominative.

3.-10. Number and noun eclipsed. Adjective follows nominative rules above.

Well in Cork...

Well in Cork(because the rules aren't the same even in Kerry) the rules for counting are (here we go):
When counting from 1-10:

1. aon: lenites takes the singular.

2. dhá, or dá before the article: lenites and takes the dual, which is the same as the singular for masculine words
but for feminine words its formed by knocking the final "e" off the genitive:
dhá chapall
dhá bhróig

3.,4.,6. Singular or plural. Lenite if you take the singular.
The following words must take the singular:
acra
céad
clais
lá
mí
míle
oíche
seomra
slí
The following must take the plural and their plural after numbers is not their normal plural:
bliain
uair
pingin
scilling
seachtain
fear
(I think Kerry includes glúin in this list)

Outside this you have a choice, but it is more common to use the singular.

5. cúig is pronounced chúig. (Unless you're just saying the number itself)
chúig lenites weak plurals, eclipses strong plurals and does nothing to the obligatory plural words, e.g.

chúig bhallóga
chúig mbailte
chúig seachtaine

Or you could just use the singular, in which case you just lenite.

7.-10. Same as above, except you always eclipse

11.-19. Just add déag to the above, or dhéag if you use the singular and it ends with a vowel.

21. The singular and "is fiche". Bó is fiche.

22. "dhá" and "is fiche", obeying the rules for dhá above. dhá bhróig is fiche.

23.-30. Follow the rules for 3.-10. and just add fichead at the end. trí charr fichead.
fichead is lenited just as déag is after singulars ending with vowels.

31.-39. The rules for 11.-19. with "ar fhichid" after.

41.-99. The rules for 1.-19. but with is daichead (40), is trí fichid (60) or is cheithre fichid (80) after.

20. and 100. Use the genitive plural traditionally, but nowadays they use the nominative singular.

Adjectives:

1. Singular form and lenited if feminine and not if masculine.

2. Plural form and lenited.

3.-10. Plural form and you lenite if noun is singular or if it is plural with a slender ending.

Genitive:

1. an aon, masculine and na haon, feminine. Noun and adjective in genitive.

2. Same as nominative.

3.-10. Number and noun eclipsed. Adjective follows nominative rules above.

How would they say "Cork, one goal and eleven points, Donegal sixteen points"?