Donal O'Sullivan thinks it may be Carolan because it is in a book with a number of Carolan tunes (Aria Di Camera), the date would fit Carolan and the subject is probably William Parsons, who lived in an area which would indicate Carolan almost certainly knew him. However, there is no direct evidence to support the fact so he indicates it may not be Carolan.
If someone doesn't get to it before then, I can get a single line melody of the tune this weekend sometime.