The 1881 census shows all the family including William, Bridget,Edward,Mary,Bridget plus a few more Catherine 1863, Julia 1865 and William 1871. However there is also a death certificate online for Bridget who died in NY 21/12/1904 aged 69 years. Her Father was Thomas Goggins. She was born in Ireland. She is a widow at the time of her death.
Regards.