[ That surprises her, at first, but it makes sense. If she already knows who he is, and what his relationship was with Jenny, it logically follows that Kanaya must have encountered him before, in some fashion. He's deductive, if nothing else. ]

Only for a portion of it. Her time preceded yours, and lasted well beyond when it ended. She even came through to this world. You can find some of her memos on the Network, still.