I would like to rewire a solar security light (motion activated) to stay on at dark. Brand westinghouse

You might want to look into a different type of solar light. My garden lights don't put out a lot of light but they do stay on all night. Good luck, give this link a try. http://solarlightcharger.com

The light will only stay on as long as the battery lasts. My guess is that will not last all night. What you can do is buy a light sensor switch (or even a light sensor socket adaptor is available to save you from having to wire it in) to keep a light on during the night. You can use a CFL or even an LED lamp to save electricity, but it is unlikely that a solar-charged cell will power even one of thes all night long.