I am going to guess that you are correct - you puppy wasn't socialized at all. The only cure for that is to socialize, socialize, socialize.
Remember that a 14 week old pup is very much like having a toddler in the house. You can't expect them to KNOW how to behave - you have to teach them how to behave.
Classes are going to do you a world of good.
In the meantime, you need to treat her for appropriate behavior around the children and move away and ignore her when she displays improper behavior.