Farmers Market Open Thursday insidemedford | June 11, 2014 | Business News, Medford Eats | No Comments The Medford Farmers Market returns for its second week on Thursday. The market is open from 3-7PM each Thursday in Medford Square behind City Hall. Photo by Susan Altman. – InsideMedford.com Add a Comment Cancel reply Your email address will not be published. Required fields are marked *Comment:*Name:* Email Address:* Website: Notify me of follow-up comments by email. Notify me of new posts by email.