If you cut a cord in two, you will have a male plug with a cord attached which can then be stripped back and attached to the "line side" of the Intermatic and the ground. This will supply the timer motor and the contacts with power, and can simply be plugged into the wall socket.
The female connector cord end will be stripped back and attached to the load side contacts and ground in the Intermatic. You can then plug your ballast into this female connector.
Be sure and use some cord grips or clamps to provide some strain relief for the cords as they enter the timer enclosure.
I'm not sure how to make it any clearer - if this doesn't do it for you, a more specific question might help.
Gotcha, thanks bro'.
Actually, I left the house, got to thinking about it as I was driving down the road, and figured it out. Thanks for clarifying!