I have TotalSpaces v2.1.10 running with my spaces in a 3row x 5column alignment.
I can use Ctrl-Shift-Up or Ctrl-Shift-Down to move a window from one space to a space above or below it. However, Ctrl-Shift-Left & Ctrl-Shift-Right do not move the window to the space on either side of the current space - it just goes to the new space, leaving the window in it’s original space.