Firstly, my apologies for the lack of information but here is all I know that is factual.
Bridget Rabbitt is buried in Killyclogher, Omagh (Cappagh Parish) with Patrick Rock (originally from Co.Armagh) and his wife Bridget nee. McSorley (from Omagh). Bridgets gravestone inscription is RABBITT d. 13/02/1908, aged 90years. In her obituary notice it says that she spent over 40years in the USA returning some 14years ago (1890). The 1910 census record listed her living in Killyclogher in 1901 as a widow - age 68 - in a dwelling owned by her nephew James McSorley. The chief mourners were James, Patrick and Bernard McSorley - her nephews.
In 1860 and 1880 census records for USA I very recently found a Bridget Rabbitt living in White Plains, Westchester, New York married to Denis Rabbitt. No children are listed and I believe she had no children as they are not on the census either.
A death notice was found for Denis Rabbitt 1893 and there was also a passenger record for a Bridget Rabbitt travelling to a from New York in 1895 with Mary McSorley.
A living relative of the McSorley family believes that she was a connection of the Rock family, which I also believe because she is buried with the ROCK family and not McSORLEY family, whose grave is beside it.
Hope this helps. Thank You