A good description on the problem cancould be found here:
http://www.esri-ireland.ie/software/arcgis/free-mapping-software/ig-itm
The downloadable zip file containscontained a ntv2 grid for the datum shift.
Official information can be obtained from https://www.osi.ie/services/geodetic-services/coordinate-converter/ and https://www.osi.ie/resources/migrating-to-itm/
Both Irish and OSGB datum shifts can be made with ntv2 datum shift grids, but the OSGB only covers England, Wales and Scotland with limited offshore coverage, while the Irish grid has values for the whole rectangle: