I am pleased to announce that after much frustration and searching the internet for answers, I got our wireless connection working (and secured) again. Hoorah!!
If anybody out there has similar troubles, or just in case I need to find them again, let me share the websites that I found most helpful for resetting the wireless router.
For setting up the router from scratch, I used a tutorial from TopBits.com called How to Setup a Linksys Router. That got the wireless signal broadcasting.
In order to secure the signal, I followed the instructions from Microsoft in their article 5 steps: How to set up your home wireless network. This offered more information about what was important to change from the factory settings and the rest of the options that I didn't need to worry about.
Now that everything is back in place, I'm off to watch Dancing with the Stars on Hulu with Adam in the living room. No more huddling around the computer desk in the office. Yay!