Alicia Irwin (Moore) McCrum

  Joseph Moore (b.~1836, d. 1897 Lisnagleer, Parish of Pomeroy, Co. Tyrone.  Father: Dainel Moore).  Married Elizabeth Arnold (b.~1834 in Creevagh. d.1910. Father: Edward Arnold)
       Children:
       ::Mary Ann (b.~1866, d. 1900)  Married William Arbuthnot. 
              Attended Lisnagleer National School.
       ::William James (b.~1861)  Married Rachel Jackson (b.~1861) in 1883
              :::Joseph Moore (b.1886)
       ::Elizabeth Jane (b.1866) Married Graham, then Edward Mathey. Immigrated in 1883 to Chicago, USA. Died in Indiana, USA. 
               Attended Lisnagleer National School.
              :::Margarite Elizabeth (b.~1892, d.1913)
       ::Daniel (b.1867, d.1913)
       ::Margaret? (b.1868) (Sarah Margaret?) Attended Lisnagleer National School.
              Children:
             ::: Emily M Taylor (b.~1890) Attended Lisnagleer National School.
           :::William Whiteside Moore (b. 6 May 1896, Lisnagleer) Immigrated to Chicago in 1915. Attended Lisnagleer National School.
       ::Mathilda (b. 1870) may have died young; could not find any additional records
       ::Alicia Irwin Moore (b.1871 Lisnagleer, d. 1935).  In 1895 married James McCrum (b. 1866 Co. Down.  d.1909.  Father: William Isaac McCrum) 
            Baptist Chapel, Townland of Lisnagleer, Dungannon, Parish of Pomery, Co Tyrone.  [Note: James McCrum’s 1st wife was Mary Millar of Lisnagleer (d.1895). Mary's father is William Millar]
            Attended Lisnagleer National School.
            Immigrated to US in 1921. Buried in Indiana.    
            Children:
              :::William J McCrum (b. 1898, d. 1993). Married Margaret Arbuthnot in 1919.
                        Immigrated to Chicago in 1921
                        Children: Elizabeth Jan (b. 1919 in Ireland, William J (b. 1920 in Ireland), Samual, Alicia, John, Robert E
              :::Elizabeth Jane McCrum (b.1896, d. 1982). Married in 1917 in Chicago to Robert John Carson (b.1892 , d.1957 of Whitehill, Drean Townland, Co. Donegal)
                        Attended Lisnagleer National School
                        Immigrated to Chicago in 1915
                        Children: 
                         :::: Louis (b.1918, d.1921)
                         :::: Robert James (b.1919 in Ireland)
                         :::: Gladys Alicia (b.1921)
                         :::: Edmund (b.1923)
             :::Mary Anne (aka Marion) McCrum married Alexander Carson (of Whitehill, Drean Townland, Co. Donegal) in Chicago (Alexander Carson is bro. to Robert J Carson).
                         Immigrated to Chicago in 1921
                         Son: John Alexander Carson (b.1925)

I have much more information not listed here. But, I also have many gaps!
 

WikiTree ID Moore-77144

Sources: 
1901/1911 Irish Census, Lisnagleer
Griffiths Valuation
Tithe Applotment Books (PRONI)
Valuation Revision (PRONI)
National School Rolls
Ireland Civil Records at IrishGeneology
Ulster Covenant
WWII Registration Cards
UC Census