Urney is in the parish of Annageliffe. You don’t say what denomination your ancestors were. If they were Church of Ireland then the following records have been copied and are held in PRONI, Belfast:
C.I. Annageliffe [sic Annagelliff] (Kilmore diocese) [Held with Urney]
Baptisms, 1804-1940; marriages, 1804-1946; burials, 1804-1915; vestry minutes, 1737, 1741, 1753-99 and MIC1/239 1803-41.
Roman Catholic:
R.C. Urney and Annagelliffe [sic Annagelliff] (Kilmore diocese)
Baptisms, 1812-81; marriages, 1812-80.
I am not aware of anywhere that you can access them on-line.