The games could take days or weeks to finish. You just have to be patient. Most of the puzzles cannot be completed until other tech levels are reached so you have to get your villagers working on research.

Also, by the sounds of it, if you don't get level 2 farming soon, you're villagers may run out of food so you may want to focus on buying that tech next.

I wouldn't get more babies until you get the farming as more villagers will consume food faster and therefore starve faster.

There are still many puzzles you can complete with the tech levels you have right now, most of them all builder related but not all. You are correct that more babies will eventually give you more researchers but really, get the food first.

Also, check what game speed you're playing on, if you have it on 2x, it will go faster for you.

All in all, the game just requires planning and patience. That's the beauty of the game. You can't finish it in a day, it takes time.

Hope that helps you move a little further but if you're still stumped or don't want to wait, there is a spoiler section in the LDW forum which will give you all the answers (not as much fun though).

Take Care, Good luck.