The Government's current idea to increase the birthrate is the Baby Bonus. For each baby you get $4000 - soon to be $5000 I think. No, I don't think you get to keep the cash if you think a few rounds of 'procreate / adopt it out' are a good way to earn some pocket money.
Of course, whilst Baby Bonus is a nice and quaint enough name, it is of course more colloquially known as 'fuck bucks' :-)