My first thought was that there was no way she could be a hostage as that is someone who is being held by a person or persons using the hostage as a bargaining chip in an attempt to extort money or concessions from a person or group with whom the hostage has close ties, such as a family or a government. The family in this instance are not holding her for ransom or the extraction of concessions from anyone else; therefore, she is not a hostage.
