Hadleigh is an ancient market town and civil parish in the Babergh district of Suffolk, England. The town is situated next to the River Brett, betw…Hadleigh is an ancient market town and civil parish in the Babergh district of Suffolk, England. The town is situated next to the River Brett, between the larger towns of Sudbury and Ipswich. It had a population of 8,253 at the 2011 census. The headquarters of Babergh District Council were located in the town until 2017.