The ow is probably just trying to be nice to your h because she is probably aware that he's not all there at the moment. If they work together, she wants to keep things "nice" during work, but isn't having anything to do w/your h after hours. Her behavior w/her boyfriend at the work-related function should have provided a clue to your h that he doesn't have a snowball's change in H@ll to win her over...but like a teenager, he doesn't get it. It's a challenge for him to try to get her attention away from her boyfriend.
I wouldn't waste too much time trying to understand the hows and whys of what she's doing. The focus has to be on you and how you plan to proceed if you receive the papers. You have to let nature take its course w/your h and hopefully, he'll come to understand that she's not available to be his girlfriend.
Keep the focus on you!
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.