Not in v0.22. I think the births will come after the wedding(s) Killer7 has got lined up. As the MC is a bit of an old fashioned sort of a character (getting the rings from Grandma etc, doing things the old fashioned way) I would imagine that Killer7 wants to write the story in a traditional get married then have the kids sort of a scenario.
So fingers crossed it is coming soon, but to answer your original question - no births yet.
Hope that helps, apologies for the long winded explanation.