Infant Stones with No Name

Over the years I have come across infant stones with little to no information, like this sad little grave marker, simply reading "Our Baby." Why are there no names? No dates? Who's baby was he/she? Similar stones read " Baby Smith," "Our Son," or even just "Infant". I could not find a single article as to why these tiny stones are so bare. Maybe the family had no money, maybe the baby was stillborn and was never named, maybe we'll never know.