In
Text Speaker Live you can
add a bookmark to mark the point to begin reading.
To add a bookmark, select the text, click on the 'Edit' menu and choose the 'Add Bookmark' option. Save the change to the file.
The next time when you open the file in Text Speaker Live, go to the 'Edit' menu and select the 'Go To Bookmark' option. Choose the bookmark you added. Now, click on the 'Speak' menu and select 'Speak from Current Cursor Position' option.