I have a Annie Jane Searey (I do not believe that she could read or write) she was born in 1851 county West Meath. It has her mother as a Ann . She came to Australia and married a John Hennessey in 1874. She died in 1902. I am not too sure but It could be the same she had a mother Ann. I have not done too much research yet on this side but..... May be the same.
Kind regards Kerrie