OK, if this is the case, you will want to point the FXO ports to a CTI route point that is forwarding the calls to Unity Connection. You will then need to configure a call handler in Unity Connection. Have you done this already?
Let's take a couple steps back -- In your perfect world, how do you want everything set up? Lets start there and work forwards. Can you test the hunt group with another IP Phone? Call the hunt pilot directly and make sure that they phones are ringing...
Did you create a DN already with 5160? If so, delete that and then change you hunt pilot to that number. As far as the partition goes, just make sure that whatever partition you put it in, that the CSS of the POTS ports has access to call it.
Check the partition on the user you are trying to transfer to and verify that the CSS of the call handler has that partition in it.If you have the box checked to inherit search space from call, go to Call Routing --> Direct Routing Rules --> Opening ...