The museum tells the history of Dallas from the days of the woolly mammoths, to the Kennedy assassination and beyond. When you first enter the Old Red Museum, the first thing you see the is the famous neon Pegasus that used to fly over a Mobil station just east of downtown Dallas. In addition, the first floor houses a well appointed gift shop with a notably helpful staff.
As fascinating as a famous hat can be, in some ways the real star of the Old Red Museum is the Old Red Courthouse that houses it. Built in 1892, it is a lovely building, and the restoration work done on it is impressive. Tours of the Old Red Courthouse are free with admission to the Old Red Museum, and I highly recommend taking one. Also, ask an employee in the Gift Shop to let you have a look at the restored vault. It’s pretty nifty.