Below is google public data chart of Shor and McCarty's Aggregate Data for Ideological Mapping of American Legislatures, available at http://americanlegislatures.com/. The chart has senate ideology on the x-axis and house ideology on the y-axis. Click the play button to view data over time. Higher numbers indicate a more conservative legislature. West Virginia's legislature is constituently moderate in both houses over the time period that the data set covers. It will be interesting to see if this stays this way as the Republicans have made gains in recent years. For information on how they computed these data see: Boris Shor and Nolan McCarty. The Ideological Mapping of American Legislatures American Political Science Review, 2011, 105, 530-551.
Shor, Boris; McCarty, Nolan, 2013-05, "May 2013 Updated Aggregate Data for Ideological Mapping of American Legislatures", http://hdl.handle.net/1902.1/21404 UNF:5:Gxvn/P6NkDXQyga+3BnG+A== V1