That's right, because your local network is 192.168.1.xxx and so is the remote network. Your Linksys router doesn't know the difference between your local 192.168.1.xxx network and the remote .1.xxx network. So when you go looking for a connection to 192.168.1.xxx on the remote side, the Linksys router is only searching your internal network.
We tried to set up a similar deal at work using two Linksys routers. The remote PC must have some address other than 192.168.1.xxx. Try putting the remote router and PC on 192.168.2.xxx.