Maybe someone else will have better luck, but I don't see any passenger lists that seem to match someone coming from that area. There are good number of Ann(ie) Burkes born Ireland circa 1903 on the 1930 Census, and it may be impossible to determine which, if any, is her without any other information.
I don't know what's available to you, but if possible, I would recommend starting on the Irish end of things and see if you can get a date of birth or any other detailed information. I assume there weren't any other family members who went to the US?