Yes, I know this is better suited for the Steam forums. The problem with that is that it requires another set of usernames and passwords and I have not even set up my Steam profile yet, much less gotten used to some of its finer points.
This has been a problem plaguing me from only one computer, a laptop. I try to login to Steam and get the following error message:
Steam - Error
Could not connect to Steam network.
This could be due to a problem with your internet connection, or with the Steam network. Please visit www.steampowered.com for more info.