The Community Democrats of Ireland are a party I know little about. There is little or nothing on them online. They fielded 3 candidates in the 1979 European Elections. (ElectionsIreland.org)
The three were, Christopher Morris in Conaught Ulster, Kevin Clear in Dublin and Michael B Crowe in Munster. All polled poorly.
The below is an interview with Christopher Morris, the party candidate in Connaught Ulster. He mentions the Liberals standing in Northern Ireland. Presumably that was James Murray who also polled poorly.
The Clipping is taken from the wonderful Galway Advertiser Site.