Scoil Naomh Carthach was opened in 1965. The school was named in honour of St. Carrack who was born and reared in the local area. The school is situated just west of Castlemaine between the Sliabh Mish Mountains and the Maine River.
The school is a new building with every modern facility available to support the work of the teachers & pupils in their education. There is a spacious playing field at the back of the school and also a hall adjacent to the school building which is used for P.E and drama.
The Board of Management and Parents Council work very hard to provide wonderful educational initiatives and fundraising activities for the school such as the Tour De Ballyfinane, Carol Singing and the annual Table Quiz. Ballyfinane N.S is steeped in music, sport and I.C.T and has continuous support from the local community.
Scoil Naomh Chárthach ainm na scoile beirte seo a osclaíodh sa bhliain aon mhíle naoi gcéad seasca cúig agus a ainmníodh in onóir do Chárthach Naofa a rugadh agus a ordnaíodh sa cheanntar agus bhunaigh dhá mhainistir cháiliúla in Uí Faíle agus I lios mor sa sé aois. Tá an scoil suite i gceanntar maith feirmeoireachta sa schuid Thoir de Pharóiste Chaisleán Na Mainge, idir Sliabh Mis agus abha na Mainge.
Foirgneamh breá nua é ma bhfuil gach áis nua aimseartha ar fail mar thacaíocht dos na múinteoirí ina gcuid oibre (a cabhraíonn go mór in oideachas na ndaltaí.) Tá páirc imeartha fairsing ar chúl na scoile nach bhfuil le fáil in aon scoil dá mhéid, Taobh leis an scoil tá halla nua a úsáidtear do P.E agus dramaí.
Tá Bord Bainistiochta na scoile an éifeachtach agus comhairle na dtuismitheoirí an-cabhrach agus muintir an cheanntar i gcoitinne an-bhrodúil as a nionad léinn.