Archibald didn't seem to know for sure where his parents were born, going by the census records that Thomas posted. In one of them it gave Scotland, so the following is possibly Archibald living with his parents in 1860 St. Joseph, MO. It looks like the mother, A McNeal may have been married before to a Fealding? so she is most likely not J McNeal's first wife. Or those Fealding? kids may be orphans taken in by the family.
1860 United States Federal Census St Joseph, Buchanan Co, Missouri J McNeal 32 m laborer IRE A McNeal 37 f wife SCO M McNeal 15 f MO J McNeal 11 m MO J McNeal 8 f MO A McNeal 4 m MO J Fealding? 15 m MA H Fealding? 13 f MA