NB!! This COULD be the same Thomas Bellingham of Culmore who married Margaret Jane McCart - if Anne Dempsey died young.
Note:
Everything hinges firstly on James. He lived in Nerwark, NJ, with the daughter of Margaret Jane McCart which suggests he was her son. But he named a child Agness which suggests that Agnes Dempsey was his mother. (However, this was his second daughter - perhaps his wife's mother was called Agnes - then again, he did not call his first son after his father either!) He could be a half brother if there was only one Thomas B who married twice.
But if this is the case, why are there two Marys?
The Scottish connection suggests two Thomases, one with stronger links to Scotland. Culmore seems to be associated with the later births, which suggests either two Thomases or one who moved. But there were two Thomases in Culmore in the 1834 TAB.
Mary Bellingham witnessed Margaret Anne's marriage suggesting Mary was a younger sister and not a married older sister, half sister or cousin.
So - we need more evidence - especially on either James or Mary#2.
Al Luce - 21/01/2007:
*** And now for another possible sequence, perhaps it was Thomas Snr who married Agnes Dempsey and had a few additional children late in life. Thomas Jnr would probably be one of his early children (1st, 2nd or 3rd son by naming convention, depending on the names of the grandfathers). If this were the case, then James would be Fanny and Hester's uncle in Newark, NJ and also an uncle and not a brother to my great-grandfather, John who remained in Kilrea (therefore a great-uncle to my grandfather, John, who came to New York). My knowledge of my connection to James started with my uncle's claim that James was an uncle of his father - I would now not rule out great-uncle with the 'great' detail lost in retelling the story over the years. My uncle actually started his active family history research about 20 years after his father died. He was able to question his mother, Jane Perry Bellingham, about her recollections but her association with the Bellingham's started in New York about 1900 and probably after that James had passed on.