Question : What is this network configuration called so I can Google it?

Hi,

I connect my laptop to my neighbor's wireless router using a static WEP key.  

I would like to instead connect a Linksys wireless router to my neighbors wireless router.  Then, I would connect my laptop and desktop to my router wirelessly and wired, respectively.

What is what I would like to do called?  I can't figure out what to google.  

I don't see any screens on my Linksys router's settings regarding connecting to another wireless router with a WEP key.  So, maybe I can't even do it.

Thanks

Answer : What is this network configuration called so I can Google it?

It's called bridged mode or WPS and not all software within routers support it.  Depending on the model of the router it is possible to install 3rd party software that does bridging very nicely.  Sveasoft and DD-WRT both have support for numerous routers.  The advantage to having a bridged network is that the reliability goes up.