More about the Medina Public Square. On the east leg of the Square sits the Medina County Common Pleas Courthouse, actually two courthouses. The "Old Courthouse" was built in 1841 in the Greek revival style and was remodeled into a victorian style in 1873 after the great fire. This building is at the extreme northeast corner of the Public Square. Today this building houses only the Medina County Domestic Relations Court. All other court functions are housed in the building to the south called the "New Courthouse." This photograph, taken today, shows the windows, brickwork and roofline of the "Old Courthouse."