If your friend was caught shoplifting but was not detained or had their information taken down, it is less likely that her parents would be directly notified by the store or law enforcement. In many cases, when shoplifting incidents are relatively minor, store personnel may choose not to involve the police and instead handle the situation themselves by asking the person to return the stolen items and leave the store.
However, it's essential to note that policies and practices can vary depending on the jurisdiction and the specific store's policies. In some instances, stores might have partnerships with law enforcement or security protocols in place that could lead to further actions.
If you or your friend are concerned about the situation, it's best to consult with a legal professional who can provide accurate information based on the specific laws in your area. It's also essential for your friend to learn from this experience and understand the potential consequences of shoplifting in the future, as it is both unethical and illegal. Encouraging her to make better choices and seek help if needed is essential for personal growth and development.