Cookeville – Night Market Presented By The Downtown Green Market May 21st at the Downtown Green Market from 6:00pm-8:00pm. The Downtown Green Market’s Night Market is back! This is one of three night markets we will be hosting in Cookeville this year! There will be live music from Sugar Tree the band, local food tastings from our vendor booths, and fun demonstrations. So come and chill out with your local farmers on a spring Tuesday night!