Good question, since I didn't specify this up front. I'll award a point for wither. But if somebody is the first to ID both halves of the match, I'll give a point for each half, plus a bonus point for making the connection. If a puzzler identifies only one half, and another puzzler the other half, they each get one point, and the bonus point goes to me.
Just kidding about that last part - if a puzzler identifies only one half, and another puzzler the other half, they each get one point, and the bonus point goes to nobody.