This post is old, You may have found all of this - I recently returned from a trip to Sligo - my mom's maiden name was McCarrick.
I see a Martin McCarrick who married Margaret Boland in 1866. They had a number of children:
I also see a Martin McCarrick married to a Honor Stenson, who had the following children
Francis (male) 1874
Maybe the second one is a better match (?) Happy to help if I can.