Off a generation, but perhaps this will be helpful.
James Reed and Hanna Doonan had a son, Felix Reed, born 1 Jun 1864, registered in Drumquin, Tyrone.
Civil registration began about 1845, for Protestants, and about 1864, for Catholics.
You may be able to work backwards in the Drumquin Parish records to find a marriage for James and Hanna.
Other children of that marriage were
Patrick, born 5 March 1870, John, 8 Feb 1868, Margaret, 1 Mar 1872, William and Peter 18 May 1873. All appear to have been registered in Drumquin.
There are some very helpful people on the County Tyrone website and mailing list: http://www.cotyroneireland.com/