Typically, when you add MP3 files to the list and then start the burning process, nothing happens visually, except an indicator provides status info about the burning. If the software doesn't have some sort of animation to visually indicate the files movies, then there is nothing unusual. The process will continue in the background and the files will be transferred to the CD unless an error appears that could cause the burning to stop.
If you find Toshiba Disc Creator unreliable, then use the following alternative to burn discs: http://ashampoo-burning-studio.software.informer.com/