6 months is a very long time for a trial. The prosecution will probably have to first prove that these babies were actually murdered because it seems like they identified the cases based on future statistical analysis rather than at the time of death. They will then have to establish how all these cases are linked and if the same method of murder was used in many instances which suggests it's a lone serial killer. People are quite dumb when it comes to their computer/internet footprint so I wouldn't be surprised if internet searches from her phone/computer form a key part of this case as well.