Good news- found him!
This is your William Moore-
William Moore b-4 april 1864,aghadowey
father- James moore
mother- Nancy mc Cauly
James Moore (bleacher), son of Samuel Moore (weaver), married 20 Oct.1853 Aghadowey Presbyterian Church to Nancy/Annie McAuley- they had 8 children and she died before Apr.1885. James Moore married 2nd on 10 Dec.1885 Coleraine Registry Office to Sarah Hunter. The family lived in Aghadowey Parish (1853 Ballygawley townland, 1859/67 Moneycarrie townland, 1869 Ardreagh townland). The family were Presbyterian and attended Aghadowey Presbyterian Church. 8 known children:
1. Peggy Jane Moore (c1859) m.(1883) David McGrath and had family.
2. Robert (c1861-d.y.).
3. William**
4. John (1866).
5. Wilson (1869).
6. Elizabeth "Lizzie" (1871) m.(1897) Richard Grissam and had family.
7. Robert (1873).
8. David (1875).
William Moore** born 4 Apr.1864 Moneycarrie, Aghadowey. Married1 Apr.1886 Patrick, Glasgow, Lanarkshire, Scotland to Catherine McLean age 23. He was 21 years old, County Police Officer, lived at Bootle near Liverpool, oarents- William [should be James] Moore farm labourer and Annie Moore maiden surname McAuley (deceased).