Yes, but you can have 2 IPs even with one modem if you use a router. Although they won't be external ones. Odd that a second modem would even work when you already have one on the line. Their system admins must be sleeping or something.
Thanks for the info. I do already have a router so I can use my laptop. Is there a way to conjure up an additional IP using this router? Not sure what you meant when you said "they won't be external ones". "They", meaning the IPs?