Hi Ellen. I don't agree with Brett on this. I've never heard the term triple cousins and I don't think such a thing could exist. We're talking about the children of the triple siblings, the grandchildren of James/Mary and Christian/Hester, right? Double cousins are called that because they bear the first cousin relationship twice, once through the father's side and once through the mother's side. There can only be two parents, so I don't see how one could have a cousin relationship three times with another person. Each of the children of the three sets of siblings would have multiple double-cousin relationships, one with each child of the two sets of siblings of his/her parents.