I don’t know if I would consider Medina a true swing county. As was pointed out above in the comments, the county did go for McCain and Bush before that. While Brunswick is the democrat stronghold (it butts up to Cuyahoga County) there remains large semi-rural and rural areas which are predominantly conservative. Medina City is the county seat, and is a mixed industrial and retail economy with a good percentage of upper middle class housing developments. Wadsworth is situated in the southeast corner and is more associated with Akron than Cleveland. It too is a right leaning area.
There are strong grassroots organizations at work here, and if I remember correctly, a sign at the local victory center listed that office as one of the leading ones in Ohio for calls made and doors knocked on.
Hey! I live in that northern most part (just off of Boston road on the county line) :-P I’ve only seen about 3-4 0bama signs in Brunswick on my way to work in Richfield. I’ve seen about the same number of Romney signs. It’s the blasted Betty Sutton signs I can’t stand! :-)