According to this source, “Great Hope Springs” begins filming its scenes in Stonington next week, according to borough Warden Paul Burgess, and will continue until the following week. The shooting schedule, which was not finalized by Thursday afternoon, will not be made public, he said, due to security and crowd-control issues. Streep and Jones will be in the borough, but not comedian Carell, who has already shot his scenes inside his movie-set therapist’s office. “All of those office scenes have already been filmed in Norwalk,” said Burgess. Much of the film work will be done inside, but Burgess said it will still be obvious what is going on. This is not the first movie that has been at least partially shot inside Stonington’s borders. “Remains,” a post-apocalyptic zombie flick being produced for the “Chiller” network, was shot in Mystic earlier this year. More famously, “Mystic Pizza,” the movie that launched Julia Roberts’ career and still brings tourists to Mystic, brought Hollywood to Stonington in the late 1980s.