Wednesday morning I went out early to check on her, and heard both goats crying for food, like they normally do. When I went in to feed them though, I saw that Adi had kidded sometime during the night and both kids had died. I was crushed.
It looked to me like she popped the kids out one after the other- maybe tried cleaning them off, but it appeared that the kids never got up after birth or sucked. It's possible that they were even born dead, though they looked like good full-size babies.
Ultimately some fault lay with me for naively breeding her so soon. I should have waited until November or even December to breed. In frigid January temperatures the kids hardly had a change of survival without me being there to dry them off and warm them up. In warmer weather they might have had a chance.
Anyway, that's the bad news. The good news is that Adi is doing great and now we have fresh milk. Maybe we'll have better luck kidding next time.