Limbo, I can confirm that Deauxlie is absolutely right because I'm a LBS who has had contact with the OW in my sitch. This woman has called and left messages at our house and my cell phone, and she's sent me emails. Some of the voicemails were horrible. They devastated me because she went into details about her and my H that I didn't need to hear.
I won't get into the details but it did shake my faith in him, and us and our piecing efforts. I mean, who and what are you supposed to believe???? I reached the point where I didn't want to read or listen -- so I didn't. I've also never responded to those emails or messages.
What helped me in my sitch was my H's actions. A year ago, he when he swore he wasn't with her anymore, but was, deep down inside I knew it! I didn't believe his lies about sudden overnight business trips.
But now things are different. He's pretty transparent so if OW contacted me and told me he'd been with her, I would not believe it.
What does your H's actions of late tell you?
One other thing, if OW has resorted to contacting you like this, no matter what the reason, then whatever is going on is falling apart. Perhaps they're both guilty of the contact.
I'd play it cool for a couple days and see what transpires...