Hi, I'm a Kneafsey too (through my mother side).
My Kneafseys are from Bekan but I don't think they're originally from there, haven't found where yet though. There are Kneafseys/Nefsys/Neasys in Attymass, Aghamore, Ballynaghlish, Kilconduff, Kilbeagh, Knock, Killasser, Kilgeever, Kildacommage, Meelick, Toomore, Templemore and Islandeady, so quiet a few places.
What are the names of the rest of Bernard/Bryan and Mary's children? Did any other Kneaphsey or Moran families settle in the same area as them (possibly relatives?)