(Near Miss Observer) As I was climbing the final pitch of Hope on damp rock I saw a male scrambling around the top, at first I assumed he had soloed up as he had no climbing equipment. I then saw that he was with his wife and child as well as their dog, he was leading them and seemed insistent that he was going the correct way. As I was finishing up the slabs the male started to downclimb, at which point I shouted out to ask if he was okay. He replied that he was fine, followed by a pause before asking if this (Hope VD) was the way down. I told him he could not descend this way, I briefly described the way off and said that I would guide them down if he would wait for me to build an anchor and bring up my second. At this point he was above me, a couple moves from the top, and I was on a run out easy section below. As he made his way back to the top, where his family and dog were, both his feet slipped he luckily caught himself on a wet jug and pulled over the lip. If he had fallen he would've likely knocked me off, and fallen a long way down the slabs. When I arrived at the top the family where no where to be seen. (I saw who I believe to be the same male later that night, camping in the valley so assume all was okay in the end).