Allow me to be the first!

I work from home via the internet site gotomypc. I actually connect to my computer at the office instead of working from my personal one. The office bought me an HP 3050 LaserJet. It's a scanner/printer/copier/fax.
Here's the really bizarre thing: The printer absolutely refuses to install to my own pc, but I can use it through the website on my work pc. It's got to be something wrong with my computer, but for the life of me I can't figure out what. I spent hours on the phone with the tech support guy from HP, and he was just as baffled as I am. I uninstalled and reinstalled countless times. My computer can "see" the printer, but for some reason it can't communicate with it. Every time I reinstall, I get an error message saying that I need to reinstall. . . again.
I need the printer! I had to uninstall mine because the two weren't working together. For personal use, I have to have something.
I know this is a long shot, but if anyone has any ideas (other than launching this thing out the window and starting all over) I sure would appreciate it!
For the record, I'm a mid-level computer user. I don't know how to program the thing, but I'm way beyond the clueless stage, too.