Betsey Calhoun 1831

There was a girl named Betsey Calhoun that came from Ireland to New York City on June 24 1831. I'm trying to find out if she stayed in the United States or if she went back to Ireland. She was born in November 1813. I only know of her father's name, Robert, and a brother's name James H Calhoun. Her mother might have been Elisabeth, but I'm not sure.