Netgear connected to Linksys

Hey, so I currently have a Linksys E1000 wireless N router, and am connecting wirelessly with a Netgear WG111V2, my connection says its full speed but lags out alot, and i was wondering if it's possible to connect my netgear wgt624 to my computer, and have it wirelessly connect to the Linksys router, almost like the netgear router was an adapter.

If this is not possible, any tips on maximixing the performance of the wg111v2 adapter? sadly connecting directly to the router is not possible, as it's in my parents room.
 
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