Witt's end on connecting two networks

On Windows 7:

A: First network: public wireless network with internet access

B: Second network: home network for sharing files around the house -- connected by ethernet to my principle server and then a wireless network for other computers in the house.

As soon as I connect B, internet stops working on the ethernet connected computer. Gateways for both networks are different: 192.168.1.1 versus 192.168.0.1.

I don't understand why I can't have internet AND connection to my private network.

Help!
 
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