Train
Memphis is served by Amtrak with their City of New Orleans line that travels between Chicago and New Orleans. Their station is located at 545 S Main St.
To get from the station to the hotel, you will need to ride the 2A bus (Lauderale/Medical Center/Airport). You can connect to the 2A bus from the station by taking any bus north from the Central Terminal to the North Terminal or by taking the Main Street Trolley north to the North Terminal. The 2A bus runs approximately every half hour. Please note that their are multiple 2 buses in the system. You need to make sure you're taking the 2A bus as that is the only bus that goes to the airport. If in doubt, ask the driver. Memphis Transit website can be found here.