My Acestors, the Browns, who married into the Davis family (Isabella Brown married my great grandfather, George Davis), lived for a time in the tiny village of Corbridge adjacent to Hadrian's Wall before moving to Wales in the 1820s. The earliest Brown I've found, Paul, claims to have been born in Scotland in the early 1790s. Later, several of his children were born in Corbridge, Northumberland, starting in 1816. Here's a little history of Hadrian's Wall from a UK government web site:
Hadrian's Wall and its associated features are the most complex and best preserved of all the
frontier works of the Roman Empire comprising the Wall itself, the Vallum, which probably marked the rear edge of the Wall zone, 16 forts (surrounded by civilian settlements) along or near the Wall, the Roman towns of Carlisle and Corbridge lying behind the Wall, and outpost forts protecting the approaches from the north. There are also many earlier Roman military works such as marching camps and permanent bases along the east-west Stanegate road which may itself have begun as a control line before the decision was taken to build the Wall.
Throughout the length of the Wall, the Roman remains survive remarkably well. Even in the most developed areas substantial remains are visible. In east Northumberland, the Wall itself is largely buried but its associated earthworks are visible for many miles and have had major effects on the post-Roman landscape. Other features, such as the Roman town of Corbridge, are well preserved. In the central sector, the remains of the Wall and associated features are prominent and often dominate the local landscape. In this area too, other traces of Roman occupation such as the Stanegate road and its forts are well preserved as are more ephemeral features such as marching camps. To the west the archaeology is less obvious but still visible in places as earthworks.