"So where are the babies being born?"
In some parts of Africa, central and near Asia, and some small parts of eastern Europe.
In western Europe and most industrialized countries, the birthrate is dropping. In countries like Italy, and Spain, the birthrate has dropped dramatically and is significantly below replacement levels.
In the U.S. we're at about replacement birthrate levels, but the trend over time has been the birthrates heading downward. The reason our population is increasing is due to immigration.
"So where are the babies being born?"
Close to their mothers?