Hello Tom,
FYI, My oldest know Cullen Ancestors were John Cullen Born about 1790 in County Kilkenny died in Ballyroe, Crannagh, Fresford, Kilkenny. Hos wife Catherine Fitzpatrick was born on the 26th of Apr 1793 in Ballydanioel, Kilkenny. They were married on the 20th of January, 1821.
Their children were:
Honora 19 Dec 1821 in Kinaree, Kilkenny
Michael 26 Oct 1824 also Kilnaree
Bridget 2 Jul 1826 in Ballyroe, Kilkenny
Thomas 15 Oct 1828, Ballyroe, KIlkenny
John 19 Aug 1830 Ballyroe, Kilkenny
James 28 Feb 1834 Ballyroe, Kilkenny, died 29 Jul 1909 in Kilrush, Balleen, Urlingford, Kilkenny. My 2 times Great Grandfather
Mary 15 Aug 1836 in Freshford, Kilkenny
James had a son also named James born 1 Feb1875. in Courtstown Tullaron. Kilkennny died 5 Aug 1945 in Kingsmeadow, Waterford, Waterford in a fire at his Mill
His son James was born on the 12 Jun 1897 in Kilkenny, Kilkenny Died Jan 1978 in Bronxville, Westchester County, New York, USA
So none of my James' are link to your James but it is a family name and there are three other brothers still to be researched
Fred