Wireless internet connection. Hi, can't connect to the internet with my laptop Win Vista . It

Question

Hi, can't connect to the internet with my laptop Win Vista . It shows connected to internet but when try to connect nothing happens. I see that shows "local connection" only and no "local and internet". If I go through my neighbor I connect inmediately and my laptop shows "local and internect connection". Can this be related to my Win XP desktop modem which is aprox 3 yrs old? My high speed cable connection is through my XP pc and I am using a Linksys router to try to connect via wireless to my newer laptop. Please help. Thanks