search for Sarah Jane Conway

I am not sure if I am in the right Parish. I am trying to locate Sarah Jane Conway, born 11 Nov, 1866. She is my ggrandmother. My grandmother said she thought Sarah was born in Ballina, county Cork. But, I can't seem to find a message board for that location and it may not be correct anyway. I also don't understand how to find the name of the Parish. Her parents were James Conway, born about 1832, somewhere in Ireland, and Nancy O'Brien (O'Brian?), born about 1835, also somewhere in Ireland. They also apparently died in Ireland. Sarah immigrated to the United States about 1882, according to the 1920 US Census. My mother also said that Sarah's brother, Hugh (born about 1863-1870)and sister Barbara (birthdate unknown)came with her to the US.

Any help would be appreciated.

Thank you,

Cindy S.