Farmers market is today in town square The Bainbridge Island Farmers Market returns to town square from 9 a.m. to 1 p.m. Saturday, June 15. June 15, 2013 11:56 am The Bainbridge Island Farmers Market returns to town square from 9 a.m. to 1 p.m. Saturday, June 15. Shoppers can find early-season vegetable starts, lettuce, salad mix, carrots, beets, herbs and more.