The RC parish for the area around Killincarrig is
Kilquade Parish (Irish Times Family History)
It's located in the civil parish of Delgany - click on
'...listing of placenames within this parish' link to see locations included.
Records for the parish are available on microfilm in the National Library in Dublin, on Pos. 6478
There are several chapels of ease located in the parish but the parish church is St. Patrick's in the town also named Kilquade, which is just about 4km south of Killincarrig.
p.s. I've also seen the townland written as Killincarrick
Shane