Hi!
If you have access to census records, this is what I found:
1900 - New Bedford - Martin Michgairon, Margaret, Peter F., Margaret, Martin J., Catherine, Thomas H., James H., Mary
1910 - New Bedford, same name Martin Michgairon
1920 - Bristol - Martin Mulkerne - Catherine is now married to ? Wickham and listed with 2 children, Howard and Eileen Wickham.
1930 - New Bedford - Peter Mulkorne, Margaret, widow and Kathleen Wickham, but her children are not with her.

Peter F. was born 9/8/1885, died Nov. 1966. His WWII registration card stated that the person who would always know his address is Mrs. Henry C. Turner in Jersey City, NJ. This could be his sister Margaret or Mary.

Thomas H. was born 4/5/1898, died Jan. 1965.
James H. was born 6/9/1900 died New Bedford, MA 3/15/1967.
Margaret was born 10/10/1887 - No other information.

I hope this information helps a little.

Carol