Schools for the Irish youth

Here's info about National School records for Longford: 

https://www.google.com/search?q=longford+national+school+records&sca_esv=60726ab851229822&sxsrf=APpeQnuv_acq1sKTINcjk9hqghIv2t8bsA%3A1789086099826&ei=k0mjarCCMqiy5NoP3YftsQY&biw=1536&bih=695&ved=2ahUKEwjwl8-LoeWWAxUoGVkFHd1DO2YQ4dUDegQIBhAM&uact=5&oq=longford+national+school+records&gs_lp=Egxnd3Mtd2l6LXNlcnAiIGxvbmdmb3JkIG5hdGlvbmFsIHNjaG9vbCByZWNvcmRzMgUQIRigATIFECEYoAEyBRAhGKABMgUQIRigATIFECEYoAEyBRAhGJ8FSLR7UK8GWIV6cA54AZABBZgB0wGgAY8pqgEGNTcuNi4xuAEDyAEA-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_JPFGIBgGQBgi6BgQIARgHugYGCAIQARgKkgcFNDEuMTKgB_mvBLIHBTI3LjEyuAfAHcIHCTItMTMuMzYuNMgH0gSACAE&sclient=gws-wiz-serp

CLONGESH, or CLOONGISH, a parish - Topographical Dictionary of Ireland (1837)

There were also Hedge Schools

Hedge school - Wikipedia

Hedge Schools | Ulster Historical Foundation

I know this isn't the town you were looking at but in the 1920s all the school children of Ireland were asked to write about the area they lived in. This student was from Longford and wrote about Hedge Schools. No longer in existence at that time.

The Hedge-School · Clonahard, Longford · Bailiúchán na Scol | dúchas.ie