Sangamon County Highway 56 is a short east-west highway southeast of Springfield. This runs from Lake Springfield to Rochester. SCH 56 passes through the following towns in Sangamon County. Springfield Rochester SCH 56 is not multi-plexed in Sangamon County. SCH 56 intersects the following highways in Sangamon County. Sangamon County Highway 43, at Springfield. Illinois State Route 29, at Rochester.