On the two birth certificates you found for Bridget Bradley who were the parents.?
They should also state where she was born, and exact dob, do they?
I am very interested in your Bridget Bradley. My grandfather was Patrick Bradley born 1864, to Mary McGeoghan, and Bernard Bradley. Patrick had several sibblings : Mary and Margaret(wound up in CA), Ellen and James dob 1852 and 1857 respectively, Bernard, and Corneilus.. We also had several cousins (Corneilus married Mary or Margaret Doherty) children one of who was Neil 1864(a month after my grandfather.
A Bridget Bradley is connected to our family just don't know (it being so common) who she is.
Let me know who the parents, and dob's were on certificates if you can. Maybe that will help.