Is it possible to replace the swivel for the screen on a Gateway Laptop? If so, where do I get one, and how do I do it?

Possible that there is a linking cord break which can happen in the swivel section . So if you can connect an external monitor to confirm the working of the PC, then the flexible cord from the motherboard to the screen must be traced and confirmed.
If there is no display from the external connection then there is fault in the motherboard/display drivers.

you can buy something that works for windschreen on cars (rocks come sometimes on), maybe it will work for you to,

not sure about documentation - but for parts you might try dakotapcwarehouse.com - my company has found parts for a lot of its older gateway laptops there

Try these WEB sites. Use these links.

Hinges for Gateway laptops on the 'net,
http://www.laptoprepairco.com/searchmode...

Replacing a hinge, or both of them, isn't very tough.
http://www.insidemylaptop.com/replace-br...
This isn't for a Gateway laptop, granted. But all laptops fall into a general replacement like this.

In the back of the swivel there is a small release lever... push down (?) then with other hand hit the swivel base towards back, then lift unit up.

search "gateway e-155c lcd swivel assembly" on google or any other search engine and you will find the part that you need.
You will need to do your own replacement, but that is the part that will fix your problem

www.mundocorp.com sells parts for the laptop model we have

This is the worst solution I've ever heard. This guy is trying to steer you wrong I'm pretty sure. There is zero point in removing all the screws from under the batter/ zero point to removing the area around the power button. Absolute BS. The only part to remove is the part just above the top of the keyboard (silver strip with some black). Then by removing that you can pry the swivel black plastic cover off. Whatever you do.. do not follow Scott's writeup here. I'm telling you. It's sad it's stayed up so long.. so had to warn.

Unplug and remove the battery pack for safety. DOn't want any shorts to happen. With the laptop open, gently pry with a very small blade the plastic cover at the front of the swivel and remove. It is in two pieces...front and back. It is OK to leave the rear half in place. Once removed you must close the laptop again. You will now have access to the screws on the hinges. Use a small Robertson screwdriver to tighten the screws. Snap the cover back in place....Voila!. IF the screws are broken (like mine were) remove all the good screws, gently lift and move the screen slightly forward, remove the broken screws with some needle nose pliers. Reassemble with new screws. I found some screws at the local computer geek shop in his selection of random screws. THey are quite tiny. CHeck Future Shop if they are in your area as they deal and repair Gateway so you may have a better chance of finding some screws that work. Good Luck.

Inverter Power board 19 Gateway Monitor FPD1975w