they have death records after 1864.
Its an unusual name and you have a good time frame.
Many men put their children or they were taken away by the church when the mother passed on. There is a film about that with the actor ....Brosnan (Pierce?)www.census.nationalarchives.ie
1901/1911 but many Sullivan's and Hanora could also be Ann.www.irishgenealogy.ie
has Kerry records