Wow! Talk about missing the obvious! That's why it's so nice to have someone else look at your puzzles!
Yes, I did see the parish register, but it was long ago, in my "beginning" days, and now I don't know if the fathers weren't given, or if I just wasn't smart enough to write them down.
I do suspect you're right, however, that it is an entirely different Ann Killip. I have not done "any" research into the Killips, other than locating William Killip's will, which proves that two of his daughters married Skillicorns.
Thanks so much for your input.