transistor voltage always on
If I'm correct, you've assembled the board and connected power, but have not connected the board to a controller, and the inputs are not connected to anything, right?

Under these circumstances, this circuit topology will in fact, treat these unconnected inputs as high. Simply ground all your inputs (except the enables, which you have correctly tied to +5). You should see all outputs go to 0 volts (or maybe a few tenths of a volt).