Well, there are two ways you can have tama babies.
1. Connect with other tama and get them to be best friends, then when they are adults they can become partners, which then there are two eggs, one goes to the females screen, and one goes to the males screen, then it will hatch and the parent will stay with it for a while then leave. There you have your second gen!
2. If say you don't know anyone with another tama, and you only have one, then some time after your tama becomes an adult the match maker will come and try make a match for your tama, in other words, try and find your tama a "partner", you can either exept it, or get a differnt one. But don't decline too many timess becsue then she'll leave and your tama will go the rest of it's days without a a partner. However, if you do exept, there will be fireworks or something then an egg will appear on your screem amd there yuo have it, your second gen. So either way, you WILL have a cnhance to have a tama baby. Hope this helped and good luck with your tamagotci!