I have a Patrick Carr born Sligo, born c 1853. Patrick had a brother called Bernard born c 1856 in Sligo. Both moved to Hartlepool, co. Durham Uk.
Patrick had a son called Thomas. I mention this because they have the same first names that you have for one generation further back.
My carrs are thought to have come from Ballina in sligo.
Any possible links do you think?