Taking the term of Web 2.0 further, CNET has an article about Family 2.0 sites:
Cook is one of a growing number of parent-entrepreneurs who are putting their time and money behind their familial interests and starting a new generation of Web sites for parents and older people--sites that borrow many of the social networking concepts, such as photo-sharing and the wiki, that are found on well-known destinations like MySpace.com and the aforementioned Wikipedia.
Call them "Family 2.0" sites--places for people who may feel a little strange hanging out with the teenybopper set on MySpace. While big family-friendly sites have been around for a long time, few of them have taken advantage of newer Web technologies, even things as widespread as RSS feeds and mapping links.