If you're playing v1.0 (it wasn't clear whether you meant v1.0 or v1.1), sometimes it can take a long time, depending upon how you play the game. I have found that leaving the game running with my Palm on AC power shortens the wait. Some people have reported waiting weeks when they leave the game off most of the time. The birth is announced by a message and a special celebration, so you'll know when it happens.

In v1.1 there have been some adjustments to the those last 3 puzzles to remove some of the frustrations and dead-ends.

There is a thread,
Help with the puzzles that provides options for getting hints and spoilers for any of the puzzles in the game.