Okay this is a true story.
When my wife got pregnant, we decided that her character would also be pregnant. However, circumstances being what they are in Arcanis, a human male (my character) cannot impregnate an elven female (her character). Which meant the child wasn't his. This had all kinds of interesting implications, since the two characters had an on-again, off-again relationship. I was at alternate times a player and a GM, but had switched to full GM duties at that point (thus my player was relegated to NPC for guest appearances only).
At one point, my wife's character refused to go through a magical portal (if I remember correctly... it will all be in my story hour) because it meant potential harm to her child. At that point we stopped the game for a moment and explained to everyone that her character was pregnant, and that she was pregnant in real life as well. To me, this seemed like a fun way to share our pregnancy with our friends.
The other players, all males, didn't say anything. They didn't manage to get out a congratulations, or anything. They were like, "Oh." And then we went back to the game and nobody mentioned it.
I expected your aforementioned "hugs, pats on the back, and general goodwill" but didn't get anything. Just a lot of awkwardness.
Once I realized that my wife wasn't going to be playing in the campaign any longer, I decided it was a good place to wrap up. We hustled to finish, playing the entire Black Sails of Freeport in the span of a few sessions, but we DID finish the game and (barring one character's loose ends) gave everyone a satisfying ending.
My advice: the first phase of realizing your campaign is ending is grief. But then you get over it. Then you start to really enjoy the idea of finality. This is the opportunity for heroic deaths, sad departures, and conclusions to storylines. At nine weeks pregnant, you've got plenty of time to wrap up before the baby arrives (although her tolerance will go down for sitting for long periods of time well before that).
To my surprise, being forced to do Black Sails of Freeport quickly was a blessing. It actually made the game much more interesting.
We finished the campaign, baby came, and then, three months later, I started up my D20 modern game without my wife. And everyone was okay with that.