The National Archives (NARA) has a New York City office. Its page on naturalization records is:http://www.archives.gov/nyc/finding-aids/naturalization-reco...
This has info on how to order the naturalization records. I don't know if they have the record you want, but that might be a good place to start.
(You posted this in the Co. Westmeath board; probably not the best place to ask.)