Cats are nocturnal animals so night time is their natural play time. It is absolutely possible to retrain them, though, so that their hours become your hours.
You need to have an intensive, interactive play-time before bed (as Stephanie said above) and feed her so that she has a nice full little tummy - not too much but enough to satisfy her.
There are some wonderful, cheap cat toys on the market that will absolutely wear her out, along with mentally stimulating her enough so that she does not get bored. Some are the Cat Dancer, Thing-In-A-Bag, Da Bird, and many others. A laser-light pen will keep her occupied for ages and ages and ages (just don't shine it on her or near her face - just on the floor and walls).
You will need to make a few sacrifices the first few nights - if she starts to play in the middle of the night, unfortunately you will have to get up and put her somewhere else with a couple of toys. Time-out is very effective if you want to use it as discipline.
With the cords behind the tv, that is dangerous for her and she needs to stop doing it. There is a product you can get called StopShock - it's cheap and it's a great way of protecting your kitty and your cords from one another.
Here's the link, scroll down to StopShockhttp://www.meowhoo.com/Basic_Pet_Su...tens/index.html
Most of all, you need to remember that this is normal kitten behaviour. She is not trying to annoy you, and can be trained out of it with time and patience. I know you both love her and do not want to give her up, but it does take some time. If this is all she is doing to annoy you, you are very lucky people!! Kittens are hard work, they are boisterous, playful and mischevious. But they are the most wonderful companions and friends and playmates in the world and if you give her time and patience and some proper instruction she will soon become the centre of your world!
Good luck, and welcome to TCS, by the way.