How do you bring down someone on Facebook and gmail pretending to be my daughter?

This individual created a gmail account with my daughter's name and used it for creating a Facebook profile and assumed my daughter's identity talking to her family and friends until family members started questioning her comments. Reported to Facebook and gmail. Other options?

What is a VPN?

VPN is (Virtual Private Network) were first used by companies to enable their employees to securely access internal systems such as email remotely (e.g. from home or while on business trips). Today they are increasingly being used for personal use by individuals to protect their privacy while online in public places (e.g. when using the wi-fi connection in a cafe) or in a country where the internet is censored / blocked (e.g. China, Saudi Arabia��).