Yeah, you would think that non-conflicting networks would work, but as it turns out, the bios in the HP has a LAN/WAN switch setting. Another friend ran into the same problem. In fact, I've seen other forums that describe this problem without the correct resolution.
Solution: With the HP EliteBooks, the default bios password is "L0ck3db10s". Once in, it's just a matter of unchecking the "LAN/WAN Switching" box.