According to 1910 US Federal Census, brother James migrated to the USA in 1862. The whole Heffernan family probably migrated at the same time.
Sources
Family knowledge;
Clonoulty parish baptism register, National Library of Ireland;
1900 United States Federal Census, resident of Syracuse Ward 10, Onondaga, New York, USA;
New York, U.S., State Census, 1905, resident of Syracuse Ward 10, Onondaga, New York, USA;
1910 United States Federal Census, resident of Syracuse Ward 10, Onondaga, New York, USA;
1930 United States Federal Census - resident of Syracuse, Onondaga, New York, USA;
New York, U.S., Death Index, 1852-1956, Certificate Number 47998, 1932.
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DNA Connections
It may be possible to confirm family relationships with Margaret by comparing test results with other carriers of her mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Margaret: