Shady Grove is an unincorporated community in Hickman County, Tennessee, United States. Shady Grove is located along Tennessee State Route 50 and the Duck River 11.25 miles east-southeast of Centerville.The Duck River post office was located at Shady Grove from December 28, 1846, to March 12, 1977. The community was named for the shade a grove of trees provided the town site.