Aghalunny, Castlederg, County Tyrone, Northern Ireland is the accepted birthplace (based upon following evidence)
Aghalunney, Co. Tyrone - source: Birth Record - Original Rootsweb Co. Tyrone site
Augholney Co. Tyrone - source: Birth Certificate of first born child - registered by James himself as father of child
Fermanagh, Ireland - source: Death Certificate - registered by Joseph Watson (eldest son)