In researching this topic further I found that the National Center for State Courts website contained a wealth of relevant information and links to actual examples.
Social Media and the Courts : Overview describes the issues from use by juries to use by the courts.
Social Media and the Courts : Resource Guide contains links to articles on such topics as the effects of jurors using social media during trials, use of social media by judges and attorneys, links to articles about court blogs as well as links to court blogs, and information on policy.
Social Media and the Courts : State Links examples of actual court use of social media such as Twitter and Facebook.