Hmmmm....I'm not absolutely certain of the answer to your question. Since I don't do the programming, I don't know if the Island Events that would help you will happen or not. Technically, the GC is a child, even though he's a special one who can make his own food and survive for quite a while (if not indefinitely) on his own. I don't know if the game is programmed to allow barrels of babies and the like when there are no adults to take care of them. If I were you, I'd keep running that game just to see what happens, and start another game in a different player slot. If you give up now, you'll never know how it could have turned out.
