Paula,
I see several people named Moses Wiley living in and around Derry in the 1800s, so care needs to be taken to identify the right family. (There are 6 Moses Wiley deaths in Londonderry between 1864 and 1901). In addition to the Moses who married Sarah McCarter, there was another who married Mary Dickens and a third who married Margt Long (possibly the son of the one who married Mary Dickens). The elder was a merchant and property owner, the younger was a carpenter.
The 1847 marriage certificate gives your Moses jr’s townland (address) as Gortin. His occupation and that of his father was farmer, so you would expect them to be in a rural area (rather than in the middle of a city). If the Moses in Griffiths in 1858 in Harvey St, Derry is your family, then I’d say he had given up farming. But I suspect it’s a different Moses.
Gortin today is on the modern Duncastle Rd a mile or two outside the City of Derry, near New Buildings. It’s still agricultural land. I don’t see the family in the county in either the tithe applotment records or the 1831 census for the county suggesting they lived elsewhere.
Tradition was to marry in the bride’s church which was Fahan Presbyterian so that may be where she was baptised. Unfortunately their baptism records don’t start till 1899. Fahan Presbyterian is near Burnfoot in Co. Donegal. See:
https://www.fahanchurch.org/welcome.htm
The tithe applotment records for Co Donegal list a Moses Wiley farming 13 acres in Carnshinnagh (parish of Fahan Upper) in 1829. I should think that’s probably Moses senior. Modern spelling is Carnashannagh. Carnashannagh is just outside Burnfoot on the R238. There were no Wiley properties listed there by the time of Griffiths in 1858, so it may be the family had given up farming and moved.
The bride’s townland on the marriage certificate was Ballynahone. Again that’s near Burnfoot. Up in the hills about 2 miles north of Burnfoot.
Londonderry Sentinel of 11th April 1899 has an advert with various plots of land available for sale (for building) in Londonderry. The advert mentions that Moses Wiley and his tenants have a right of way through one of parcels of land.
Derry Journal of 8th September 1884 reports the birth of a daughter on 6th September to Moses Wiley of 38 Gt James St, Londonderry.
Derry Journal 20th April 1883 reports Moses Wiley summoning James McCann and 3 other small boys for throwing stones and breaking windows in one of his houses. They were fined 10/- each.
Londonderry Standard 14th March 1866 reports the birth of a daughter to Moses Wiley on 2nd March 1866 at William St, Derry.
Moses the property owner seems to have died in 1890:
https://civilrecords.irishgenealogy.ie/churchrecords/images/deaths_retu…