Anne
Thank you so much for the prompt response. Using Family Tree Maker and Ancestry.Com I was able to view Annie's marriage record from 1906 in Monson Massachusetts. She was 21 (so her birth would have been 1885) she was born in Ireland and her parents were Thomas McInerney and Susan Walsh. I have also found her in the 1910, 1920, 1930, and 1940 US Census. Her birth date stays consistent in all documents as either 1885 or 1886. Her husband's age also stays consistent in these documents and are either 1881 or 1882 in New York City, so I feel the birth year is likely accurate. I will check the source you suggested. I have not yet located any immigration documents but in the 1930 US Census it states she immigrated in 1901. The fact that she came from Kilkenny came from family knowledge. Perhaps she was not born there.
I have not been able to find any US records for her parents, and there is no family knowledge of them, so I am thinking they did not immigrate.
Alice