We're still searching for the link to Ireland. Do you have a William Cathcart born about 1775 in your records? Do you have a crossed out entry (born about 1775, no record after abouit 1800??)in your Family Bible? A disowned son for that time period? A son who was in the British Army in the late 1790's and vanished? One who went to North America?
Our subsequent generations have Mathew,Michael, William,John, Allan,Nancy, Elizabeth