"Asenath" is my 3rd great-grandmother going back on my Dad's maternal line. Her father, John BUTLER, was a Revolutionary War soldier, born in Ireland. They were the first, and only, Irish relatives I have identified in my background; going back many generations in many lines.
At the time, it was first time I had even seen the name; have seen it, but only a few times, since. Nickname is "Sena" - later found a neice of Asenath who kept a hand-written diary with lots of "interesting" anecdotes about the family.
Families are Forever! ;-)