I just came across this recent statute, Cal. Gov. Code § 6218 et seq.:
(b) (1) A person … shall not publicly post … the personal information [including just the name, see below] or image of a designated health care services provider, employee, volunteer, or patient if that individual … has made a written demand of that person … to not disclose the personal information or image. A written demand made under this paragraph shall include a statement declaring that the individual is subject to the protection of this section and describing a reasonable fear for the safety of that individual or of any person residing at the individual's home address, based on a violation of subdivision (a).
(2) A designated health care services provider, employee, volunteer, or patient whose personal information or image is made public as a result of a failure to honor a demand made pursuant to paragraph (1), or any individual, entity, or organization authorized to act on their behalf, may bring an action seeking injunctive or declarative relief in any court of competent jurisdiction. If a jury or court finds that a violation has occurred, it may grant injunctive or declarative relief and shall award the successful plaintiff court costs and reasonable attorney's fees.
(3) This subdivision [b] does not apply to a person or entity defined in Section 1070 of the Evidence Code [a publisher, editor, reporter, or other person connected with or employed upon a newspaper, magazine, or other periodical publication, or by a press association or wire service, or any person who has been so connected or employed]….
Subdivision (a), referenced above, provides: