The name McKernon/McKernan/McKiernan appears in many places in Co. Antrim. The name Doris/Dorris appeared in Ramoan RC parish in the early 1900s. Romoan RC parish borders Culfeightin RC parish, near Ballycastle. My father's sister, a McKiernan married a Dorris in Ramoan RC parish.
Please be open to the various spellings of the name McKernon in your research. Personally, I have found at least three other spellings of this name in my research, and I have two independent lines of this name, with such spellings as McKeirnon, McKerney, McKeirnan, and McKirnan. I was able to connect with them because I had other info which they also had. So please, keep you options open.
Good luck.