Jim,
The terms are interchangable to me. Take the case of the old AT&SF. In its beginings it was the AT&SF Railroad. After bankruptcy court in the late 1890's it became the AT&SF Railway and was until the merger with the BN. The new name was the Burlington Northern Santa Fe Rwy until the name was again changed to just plain BNSF. I do think it is still refered to as Railway though. The crux of the matter is that it is up to you what you would like to use and there is no difference. It depends on which one you like and want to use.
The terms are interchangable to me. Take the case of the old AT&SF. In its beginings it was the AT&SF Railroad. After bankruptcy court in the late 1890's it became the AT&SF Railway and was until the merger with the BN. The new name was the Burlington Northern Santa Fe Rwy until the name was again changed to just plain BNSF. I do think it is still refered to as Railway though. The crux of the matter is that it is up to you what you would like to use and there is no difference. It depends on which one you like and want to use.