RealBeast :
You should be able to connect to the local network with the second adapter because Windows 7 can be multihomed. Each adapter should use a different IP address though and you can change that in the network control panel, change adapter settings, right click on adapter and select properties, then select IPv4 and hit the properties box -- there you can change the IP address settings.
Also you should only have one default gateway assigned:
http://support.microsoft.com/kb/262397
What is the output if you type in ipconfig /all and then hit return in the command prompt box?
Thanks, I'll take a look at the MS kb page. Here's the ipconfig output:
C:\Windows\system32>ipconfig /all
Windows IP Configuration
Host Name . . . . . . . . . . . . : mylaptop-W7
Primary Dns Suffix . . . . . . . : corp.<employer>.com
Node Type . . . . . . . . . . . . : Hybrid
IP Routing Enabled. . . . . . . . : No
WINS Proxy Enabled. . . . . . . . : No
DNS Suffix Search List. . . . . . : corp.<employer>.com
Ethernet adapter Local Area Connection:
Connection-specific DNS Suffix . : corp.<employer>.com
Description . . . . . . . . . . . : Intel(R) 82577LM Gigabit Network Connection
Physical Address. . . . . . . . . : F0-DE-...
DHCP Enabled. . . . . . . . . . . : Yes
Autoconfiguration Enabled . . . . : Yes
Link-local IPv6 Address . . . . . : fe80...(Preferred)
IPv4 Address. . . . . . . . . . . : 10.x.x.x(Preferred)
Subnet Mask . . . . . . . . . . . : 255.255.255.248
Lease Obtained. . . . . . . . . . : Sunday, July 28, 2013 4:55:00 PM
Lease Expires . . . . . . . . . . : Monday, July 29, 2013 2:55:00 PM
Default Gateway . . . . . . . . . : 10.x.x.41
DHCP Server . . . . . . . . . . . : 10.x.x.41
DHCPv6 IAID . . . . . . . . . . . : 317775601
DHCPv6 Client DUID. . . . . . . . : 00-01-...
DNS Servers . . . . . . . . . . . : 10.x.x.247
153.x.x.247
Primary WINS Server . . . . . . . : 153.x.x.248
Secondary WINS Server . . . . . . : 153.x.x.248
NetBIOS over Tcpip. . . . . . . . : Enabled
Wireless LAN adapter Wireless Network Connection:
Connection-specific DNS Suffix . :
Description . . . . . . . . . . . : Intel(R) Centrino(R) Advanced-N 6200 AGN
Physical Address. . . . . . . . . : 18-3D-...
DHCP Enabled. . . . . . . . . . . : Yes
Autoconfiguration Enabled . . . . : Yes
Link-local IPv6 Address . . . . . : fe80::...(Preferred)
IPv4 Address. . . . . . . . . . . : 192.168.1.104(Preferred)
Subnet Mask . . . . . . . . . . . : 255.255.255.0
Lease Obtained. . . . . . . . . . : Monday, July 29, 2013 11:27:04 AM
Lease Expires . . . . . . . . . . : Tuesday, July 30, 2013 11:27:05 AM
Default Gateway . . . . . . . . . : 192.168.1.1
DHCP Server . . . . . . . . . . . : 192.168.1.1
DHCPv6 IAID . . . . . . . . . . . : 370687394
DHCPv6 Client DUID. . . . . . . . : 00-01-00-01-18-20-CD-40-F0-DE-F1-49-02-92
DNS Servers . . . . . . . . . . . : 192.168.1.1
NetBIOS over Tcpip. . . . . . . . : Enabled