It is possible that you may be able to have her criminally charged. It is likely that disorderly conduct is the most applicable offense, since harassment law in Connecticut does not deal with in-person communications. The statute is here:

      Sec. 53a-182. Disorderly conduct: Class C misdemeanor. (a) A person is guilty of disorderly conduct when, with intent to cause inconvenience, annoyance or alarm, or recklessly creating a risk thereof, such person: (1) Engages in fighting or in violent, tumultuous or threatening behavior; or (2) by offensive or disorderly conduct, annoys or interferes with another person; or (3) makes unreasonable noise; or (4) without lawful authority, disturbs any lawful assembly or meeting of persons; or (5) obstructs vehicular or pedestrian traffic; or (6) congregates with other persons in a public place and refuses to comply with a reasonable official request or order to disperse; or (7) commits simple trespass, as provided in section 53a-110a, and observes, in other than a casual or cursory manner, another person (A) without the knowledge or consent of such other person, (B) while such other person is inside a dwelling, as defined in section 53a-100, and not in plain view, and (C) under circumstances where such other person has a reasonable expectation of privacy.


Section (2) seems to be most relevant to you. You may want to contact the police again to specifically request that charges be filed. If that is unsuccessful, you can try contacting the prosecutor's office directly to request that charges be filed.

You may also want to contact a civil lawyer for assistance in drafting a cease and desist letter and in pursuing civil action, if necessary. If you cannot afford an attorney, you can start here to locate legal help:

http://www.connlegalservices.org/gethelp.htm