>Use Me keyword instead of This. It points to current class instance:
>

>Public Class WebService
>    Inherits System.Web.Services.WebService
>
>    Private cUrl As String = "http://www.levelextreme.com"
>    Private cUser As String = ""
>
>    <WebMethod()> _
>    Public Function MyMethod() As String
>
>        Private cUrl As String = "http://www.anotherurl.com"
>        Return Me.cUrl & cUrl
>    End Function
>
>End Class
>

>(it is best practice to use & instead of + to concatenate strings).

Thanks, Me is what I was looking for.