Hazlett/Kane/Doherty

One of my family lines comes from Donemana, Donaghedy, Co. Tyrone.
My 4th Great Grandfather was Andrew Hazlett born abt. 1810, he died 17 July 1884 in Cambridge, Massachusetts, USA.
Andrew's father was Jacob Hazlet, I don't know who his mother is.  Andrew's known siblings are:
John Hazlet born abt. 1807, died 1891 Ireland.  He married a Frances.
Elizabeth Jane Haslett born abt 1821 married a James Thompson.
James born abt 1822, died 28 Nov 1876.
Isabella Haslett married a Thomas McIntosh.

The Griffith Valuation index shows Andrew Hazlett living in Castlegore. 
The Hazlett family attended the First Donaghedy Presbyterian Church.  I don't know if the Kane family attended this or another.

Andrew Hazlett married Martha Kane about 1848/49.  They had 9 known children.
Rebecca Hazlett born abt. 1850, died 17 March 1898 in Cambridge, MA, USA.  Rebecca married a John Doherty on 9 May 1867 recorded in Strabane.  His farther was William Doherty.  They had 8 children, the first two where born in Donemanna.  William Doherty born 14 March 1868 and Thomas Doherty born 12 February 1870.
Margaret Ann Hazlett born abt 1851, died 6 March 1905 in Cambridge, MA, USA.  She married a William Young on 3 Apr 1873 in Cambridge, second marriage was to Johann Fridolin Schuler.
John Hazlett born abt 1855, died 30November 1875 in Boston, MA, USA.
Fanny J. Hazlett born abt. 1860.  Married a Daniel W. Hall 9 May 1887 in Boston, MA, USA.
Andrew Hazlett born abt 1862, died 9 Jan 1894 in Salt Lake City, Utah, USA.  Married Emma Olilson 9 July 1890 Cambridge, MA, USA.
Isabella Hazlett born 26 March 1864 Dunnamanagh, Tyrone
Joseph Hazlett born 2 March 1866, Donemanna, Tyrone
Mary Hazlet born abt 1869 married Arthur E. Saltmarsh, second George A. Smicer both marriages in the USA.
Martha Hazlett born 2 July 1874 Donemanna, Tyrone.
According to the 1900 USA census they had 2 more children I have not yet found and had died before then.

Rebecca Doherty (Hazlett) immigrated with her two oldest children and sister Margaret Ann Hazlett to New York on 15 April 1872, going to Cambridge, MA.
Her husband was not with her, and I think that John Doherty and her brother John Hazlett immigrated before them.
Andrew Hazlett immigrated with his wife and the rest of the children on 17 May 1875 to New York.  They went to Cambridge, MA where his other children were living.

Andrew's wife Martha Kane has been a brick wall for me.  She was born about 1832 and her death record listed her parents as Daniel Kane and Margaret Hazlett.  I have no further information about her parents or any siblings.

I would love to make connections with family, and if anyone has information on these lines especially anything to help figure out Martha Kanes family I would really appreciate some help!