Lighting, Light Fixtures, Ceiling and Exhaust Fans - Adding light to a switch controlled receptacle

I want to add a light in a bedroom closet. The existing receptacle in the bedroom is controlled by a middle-of-the-run wall switch. I would like to have only half the receptacle controlled by the switch, then continue the cable to add a closet light from the receptacle that would be independently switched. Is this possible? Presently all cables are 2 wire. Thanks.

What is the wiring at the switch and at the receptacle? ALL the wiring. Your term "middle-of-the-run" is ambiguous.

Understand that lights in clothes closets have very specific requirements, for a good reason. You will not get it right if you do not thoroughly research the code requirements first.

The wiring at the switch has a 2 wire (black,white,ground) coming into the box, and 2 wire going out to the receptacle. The 2 blacks are attached to the 2 screws on the switch, the whites are wirenutted together, the grounds are wired to the ground on the box. The receptacle only has the 2 wire from the switch entering the receptacle box, no cable leaving. The black goes to the top brass screw and the white to the top silver screw on the receptacle. The brass tab joining the top and bottom outlets on the receptacle is intact.

So the answer to your question is no, you cannot make the receptacle half switched and half unswitched given the existing wiring. You would need 12-3 or 14-3 from the switch to the light to do this.

So your choice are, grab power from the switch, rewire from the switch to the receptacle, or grab power from somewhere else.

Thanks Bob, thats what I wondered. So... if I leave the wiring as it is (call me lazy), with the receptacle being switched could I still power a light in the closet from the receptacle, even if it meant the closet light would only work while the receptacle was switched on? Where the closet is, I would usually turn on the bedroom light first anyway (which is plugged into this switched receptacle) before going into the closet, and, would I still be able to put a switch on this new closet light between the receptacle and the new light?
Steve.

Steve, The questions you are asking are basic, and indicate that you are not knowledgeable to do this job on your own, at least not yet. Please buy and read at least two book on home wiring BEFORE attempting this or any wiring project.

The questions you are asking are very basic. The problem is not hose questions, it's the other dozen (at least) that you either don't know to ask or will assume you already know the answer (and in fact may or may not) that I am worried about.

First determine if the is closet is large enough and built to support a light. Then worry about the best way to wire it, which is almost certainly NOT off a switched receptacle.

Electricity can and does kill people and start fires. You need to learn how to do this work safely BEFORE you attempt it.

Thanks Bob, I am not an experienced electrician, but a do-it-yourselfer, and have done some wiring in my house already, using the DIY forum, with excellent and safe results. The closet is large enough by code to support a light, I had checked, and the book I am presently referencing obviously does not give me all the electrical information I require, and I will obtain a more thorough source to upgrade my basic knowledge. I often use this site to clarify things I'm not clear on, and am not one to blunder through a job just "hoping it will work".
Steve.