According to the BBB your new born could be at risk for ID theft. It seems that would be ID thiefs are now focusing more of their efforts on your new borns social security to take out loans under your baby's name.
Some things to do to safe guard is never record your baby or your social on your computer. No matter how good your antivirus is there could be a chance a virus could get by and snatch your ss information.
Shred any information if your disposing in your recycle. This is a low tech way of getting your information.
Always have a good antivirus and a good firewall on your computer. Never surf without one.
As always stay safe on and off line.