I didnt check your other names in these websites
So I went looking for
Four Mile Burn and found a neat map on
http://dna.cfsna.net/GEN/Ireland/Antrim/Fourmileburn_1st.html which show the surrounding 3 civil parishes
But it didn’t show me how close we are to Antrim civil parish so I looked at a parish map for Co Antrim
http://www.ancestryireland.com/civil-parish-maps-for-ulster/civil-parishes-of-county-antrim/ which showed me going From the West to the East
Antrim civil parish, Donegore, and Kilbride, and running in a narrow strip underneath all three is the
Grange of Nilteen civil parish
Donegore civil parishfrom
http://www.irishgenealogyhub.com/antrim/tithe-applotments/Stephenson, Andrew County : Antrim
Parish : Donegore/Grange of Nilteen
Townland : Browndod
Year : 1833
Stephenson, Jas. County : Antrim
Parish : Donegore/Grange of Nilteen
Townland : Moyaddun
Year : 1833
Stephenson, John County : Antrim
Parish : Donegore/Grange of Nilteen
Townland : Donegore
Year : 1833
Stephenson, John County : Antrim
Parish : Donegore/Grange of Nilteen
Townland : Durhams Land
Year : 1833
Stephenson, Josh. County : Antrim
Parish : Donegore/Grange of Nilteen
Townland : Tobergill
Year : 1833.
Stephenson, Thos. County : Antrim
Parish : Donegore/Grange of Nilteen
Townland : Ballywoodock
Year : 1833
Kilbride civil parish from
http://www.irishgenealogyhub.com/antrim/tithe-applotments/Stephenson, Jas. County : Antrim
Parish : Kilbride
Townland : Stray Park
Year : 1833
Antrim civil parishfrom
http://www.irishgenealogyhub.com/antrim/tithe-applotments/Stevenson, Andrew County : Antrim
Parish : Antrim
Townland : Parkhall
Year : 1833
Grange of Nilteen civil parishfrom
http://www.irishgenealogyhub.com/antrim/tithe-applotments/All persons in Grange of Nilteen were recorded in Donegore Parish records.
So that doesn’t help much
In griffiths valuation
http://www.askaboutireland.ie/griffith-valuation/index in 1862 one can find the occupants of the Ladyhill townland, but no Stevenson or Stephenson unless they were a landlord which I didn’t check.
Hope that is of some help JimG