Thanks for the prompt response. I'm new to both virtualization and Linux, so your patience is appreciated.
First of all, VB 4 crashed while I was checking settings, so that confirmed your comment that VB 4 might not be stable. I did some searching and found that the version you are using, VB 3.2.12, seems to be the latest stable version. So I uninstalled VB 4, then installed 3.2.12. Then I installed the PCLOS KDE 2010.12 appliance again (since PCLOS was not offered as a choice when installing the VM I chose "other Linux" as the type of Linux).
I then checked the network connections in the same way that I said in my original post, and found exactly the same results (no Web sites found in browsers, eth1 shown as the connection in some places, eth0 in others, etc.).
Attempting to answer your question re: only one NIC attached to the VM I navigated within VB 3.2.12 to Settings > Network and found that only one of the adapters was set up. Does this answer your question, or should I be looking at something else? If something else, please indicate the navigation path.
I'm not sure what details about the virtual machine you are seeking. It's the PCLOS KDE 2010.12 Virtual Appliance located at this link:
http://virtualboximages.com/PCLinuxOS+KDE+2010.12+VirtualBox+Virtual+Appliance. If you need other details, let me know.
Thanks.