This is a late 70s or early 80s movie about a family whose house becomes possessed by a spirit.I believe the spirit is following the daughter around. The family calls numerous spirit hunters but to no avail.they eventually move from the house.I remember a scene in which protesters are on their front lawn.

The Haunted (1991 TV movie)
starring Sally Kirkland, Jeffrey DeMunn, Diane Baker, Cassie Yates, Joyce Van Patten
IMDb synopsis:
Supposedly based on a true story, this is the story of the Smurl family, who move into their new home on Chase Street only to find that it is plagued with three spirits and a demon. The demon wants to destroy their family, and they are constantly desperate until they find the Warren family to get rid of them.

The Haunted (TV Movie 1991) - IMDb (http://www.imdb.com/title/tt0102007/)

Here's Part 1 on YouTube:
The Haunted 1991 TV movie (1/10) - YouTube (http://www.youtube.com/watch?v=lcLZleMNRZ8)