The notes I had from my great aunt and my mother said Clogh Mills but after years of trying to find these people I have concluded because of various bits of information that it might actually be Claughey. It's the kind of mistake the next generation might have made since there are so many places with similar names. That doesn't necessarily mean that my ancestor lived there just that the family probably did. My Adams, Brown and McCullough families must have lived near each other somewhere in the Ballymoney area.
The Adams' weren't Catholic but the McCulloughs were but probably not always. Don't know about the Browns.