1900 census in Washington, Pennsylvania, has Barnerd Moore, 45, b Ireland; Bridget, 45, and Patrick, 20, both born Scotland; and Maggie, Agnes, William H and Rose, all born Pennsylvania, and sister Ann Carlin, 60, born Ireland.
1910 has Bernard, 65, born Ireland; Bridget, 56, Annie, 31, and Patrick, 29, all born Scotland, plus Mary, Jean, Margaret, Agnes, William and Rozie, all born Pennsylvania.
So it looks as if only Annie (1878/9) and Patrick (1880/1) were born in Scotland. Though there could have been one or two older children who were not with the family in those censuses.
I have not found them in the 1881 census so they must have left Scotland while Patrick was still a baby.