Get fresh produce at the Bainbridge farmers market The Bainbridge Island Farmers Market returns to town square from 9 a.m. to 1 p.m. Saturday, June 22. June 22, 2013 11:41 am The Bainbridge Island Farmers Market returns to town square from 9 a.m. to 1 p.m. Saturday, June 22. Shoppers can find early-season vegetable starts, lettuce, salad mix, carrots, beets, herbs and more.