On September 13, 122, construction began on Hadrian's Wall under the direction of the Roman Emperor Hadrian. This wall marked the northern limit of Britannia and was built to keep out the Picts and other tribes. Though the primary construction began before the year 1000, it marks an appropriate historical milestone for Roman and British history, but it doesn't fall within your span. Unfortunately, there are no verifiable records of significant historical events falling on September 13 between the years 1000 and 1200 in my current dataset.