Curnyn family farm wall
Moneygashel Co Cavan Ireland

It is for an engraved plate, thanks!

Curnyn is probably Ó Cuirnín, but some of the other members have better resources for family names.

Moneygashel is Muine na gCaiseal

Here's an attempt at it:

Claí feirme mhuintir Uí Chuirnín
Muine na gCaiseal, An Cabhán, Éire

But I am not great at nested genitives, so definitely await further input ...

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Múinteoir Gaeilge - Irish Teacher
My "specialty" is Connemara Irish, particularly Cois Fhairrge dialect, but I can also speak Ulster and Munster Irish with native-level pronunciation.
Is fearr Gaeilge ḃriste ná Béarla cliste, cinnte, aċ i ḃfad níos fearr aríst í Gaeilge ḃinn ḃeo na nGaeltaċtaí.
Gaeilge Chonnacht (GC), go háraid Gaeilge Chois Fhairrge (GCF), Gaeilic Uladh (GU), Gaelainn na Mumhan (GM), agus Gaeilge an Chaighdeáin Oifigiúil (CO).

I'm wondering if Chlann Uí Chuirnín might be more appropriate in this case

No, your nested genitive here is completely correct.

I agree with kenailan, though, that clann is probably better than muintir for this kind of plaque inscription.

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Not a native speaker.

Always wait for at least three people to agree on a translation, especially if it’s for something permanent.

My translations are usually GU (Ulster Irish), unless CO (Standard Orthography) is requested.

Thanks!!