I've had good luck with changing the game speeds to get them to drop the baby. I usually play in 2x, so I move it down to 1/2 time for a few minutes then put it back up to 2x. Thats worked 3 times for me so far. Not had it fail yet.
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XP Home/Intel Core 2 Duo @ 3GHz/2064MB RAM/DirectX 9.0c/768 VRAM
1680x1050 32bit 60Hz