I wondered about that. But I would t know the difference although I would assume coal would have to be heavier duty since it burns hotter.
It's called a barrel stove. A design of a parlor stove. A pot belly and many stove models are all cast iron. These were designed to be able to replace the round barrel part easily when they burned through.
You "can" burn wood in any coal stove, but not efficiently. You cannot burn coal in a wood stove. The difference is coal must have all the air coming up through the coal bed. They will have a grate the coal sits on and a burn pot (the round portion at bottom) with a liner of furnace cement or cast iron hopper to hold the coal like a basket. Wood doesn't care where air comes from. Normally wood is burned on a brick or sand bottom so the wood doesn't get too much air under it to make it burn longer. On a grate, it gets far too much air and burns too fast. It will not hold a fire overnight. So burning wood, you leave about an inch of ash on the bottom when cleaning to allow the coals to build up in the ash bed and prolong the fire.
Coal stoves normally have movable grates. That means they rock or swivel with a handle attached to shake the grate. You should see a small hole at the grate level where a handle inserts if it had a movable grate. The ash falls into the ash pan below where the air also comes up from the bottom.
You need to buy a stove to match the heated area as well as chimney you will be using. If you already have a chimney, you need a stove with the same size outlet as the existing flue. Wood stoves will be long and narrow, the shape of wood, or square with a glass door for fire viewing. Burning wood in a coal stove takes very short pieces and won't burn long.
The smallest of stoves are going to heat 1000 sf. This one with coal will heat a larger area than you think. Are you heating a below grade cement block basement, or insulated building? That makes a big difference. Also the chimney you have may or may not make the stove work. The chimney is more important than the stove.
The coal fire in the burn chamber burns hotter, which is why there is a liner, but the stove, pipe and chimney will get much hotter with wood. Coal is an even steady heat. Wood cycles hot and warm with constant variation and loading. When you start a coal fire with wood, the stack temp (pipe surface temperature) will rise to 350* or higher with wood, then as the coal catches it drops to about 150 where it will stay. But the stove radiates more since the heat remains constant for a longer period of time. (normally until you let it go out)
#1 question is do you have dry wood ready to go?