Which district is mentioned regarding land claims that remained after the formation of the state?

The mention of the Virginia Military District pertains to land claims that existed after Ohio's statehood. This district was established by the Virginia legislature as a reward for soldiers who fought in the Revolutionary War. The land in this district was set aside to honor veterans, allowing them to claim specific parcels as a form of payment for their service.

This district is significant in Ohio's history because it represents how land distribution was handled during the early years of state formation, particularly in relation to compensating military service. Such claims were separate from the broader land policies administered by the federal government, which were more prevalent in other areas of the state.

In contrast, the other options, like the Pioneer District and the Old Northwest Territory, do not specifically address the land claims allocated to veterans as the Virginia Military District does. The Eastern Land District also does not have the same historical context tied to the Revolutionary War service. Each of these other areas, while relevant to Ohio history, does not specifically relate to the distinctive land claims created for military service, making the Virginia Military District the accurate choice.