This Google workbook lists the chapter titles and durations for all four volumes of The Story of the World. The track titles for each volume are listed in a separate tab, located at the bottom of the workbook.
Copy/paste the info into your preferred format, or use the spreadsheet to create a tab-delimited file to download the information into your preferred audiobook reader or media management system. This article can help you with that process.
If you are downloading directly to an iPhone or iPad, read this FAQ first.