If you have all of your Village Techs at level 3, you should be able to solve the next 4 puzzles. The last puzzle is a bit more complicated!

For starters, you probably need to grab one of your villagers and go exploring around the island. Pay attention to anything they notice! The Golden Child sometimes requires patience. If you're at the max population, you'll have to wait until there are 'vacancies' in your village, so that you can make more babies.